Wednesday, October 13, 2010

Comprehensive Training in Primary Mathematics word problems (a)

 1. A, B, C and three in the A, B two to tree planting, A place to plant 900, B land to plant 1250. Known A, B, C respectively, to tree planting day, 24,30,32 trees, a tree planting in the ground A, B to C in tree planting, planting trees B to A first, then go to B to plant trees. While simultaneously beginning the end of two, B should be a few days after the start to go from A to B?

2. has three grassland area were 5,15,24 acres. The grass as thick as grass, and grow as fast. The first piece of grass to eat for 30 days for 10 cows, and the second block of 28 cows to eat grass for 45 days, and asked how much the third piece of land for cattle to eat for 80 days?

3. a project, from A, B and two contractors, 2.4 days to complete, to pay 1,800 yuan; by the B, C and two contractors, 3 +3 / 4 days to complete, to pay 1,500 yuan ; by the A, C two contracting, 2 +6 / 7 days to complete, to pay 1,600 yuan. Completed within one week in the guarantee under the premise of a single contractor to choose which team the least cost?

4. a cylindrical container placed a rectangular piece of iron. Now turn on the tap to the container irrigation. When the water is just 3 minutes have not seen the top of the cuboid. Another 18 minutes the water had filled the container. Container known as the 50 cm high, 20 cm high rectangular, find the rectangular area of the underside of the bottom area and the ratio of the container.

5. A, B and two bosses were the same price buy a fashion, the number of sets B Bijia purchased more than 1 / 5, then A and B respectively of 80% and 50% Profit Pricing for sale. Both sold out, the A is still part of the profits obtained more than B, this part of the profits have just enough for him to buy 10 sets of this fashion, a number of sets of the original purchase of this fashion?

6. are A, B and two pipes, respectively, while for A, B are two of the same size pool water, at the same time,UGG boots cheap, A, B and two water injection ratio is 7:5. After a 2 +1 / 3 hours, A, B into two pools of water and just a pool. At this time, a control injection speed increased by 25%, B pipe water rate change, then the tube when a pool filled with A, B tube and then after how many hours to fill tank B?

7. Xiaoming morning walk to school from home, has completed half the distance, the father found lost Xiaoming math book at home, then cycle to send the book to Xiao-Ming,UGG boots, to catch up when there are 3 Xiao Ming / 10 the distance is not completed, and Xiao-Ming then on the father's car, the father rushed to the school, such a small advance as compared with 5 minutes walk alone to school. Xiaoming walk from home to school all the time how much?

8. A, B and two cars starting from A to C through B to proceed to, A, B is equal to the distance between B, C the distance between the two places. B vehicle speed is the speed of a car 80%. B cars are known to start as early as 11 minutes Bijia car, but stayed in the B to 7 minutes, a car to drive C to the stop. Car Bijia car late last B to C to 4 minutes. So when a few minutes after starting car B, car B a car over.

9. A, B and two clean vehicle is performing East, West Side Highway between the cleaning task. A car cleaning needs 10 hours alone, B alone clean car takes 15 hours, two vehicles from both East and West both directions out, meet, a car cleaning than 12 km B vehicles, and asked the East and West the number away thousands of the city m?

10. this has a weight of 3 tons of container 4, a weight of 2.5 tons of container 5, a weight of 1.5 tons of container 14, the weight of 1 ton of container 7. So how many cars need to load at least 4.5 tons of cars all at once transported to the container?

11. teacher and student were 170 co-processing components, the number of master processing part 1 / 3 the number of processing components than the apprentice 1 / 4 more than 10, then the total processing of a few parts apprentice ?

12. a large car and a car were to drive from A to B. Great car speed is the speed of cars 80%. Big cars are known to start 17 minutes earlier than the cars, but stopped in the mid-point between 5 minutes, before continuing to drive to point B; the car did not start after the half-way stop, proceed directly to point B, the last cars than large car to reach point B as early as 4 minutes. Also know that big cars are 10 am departure from A. So when the car in the morning to catch up with big cars.

13. a manuscript, a single type to 14 hours to complete, B typing alone will take 20 hours to complete. If a first hit 1 hour, then take over a dozen B 1 hour, and then replacing B by the A 1 hour ... ... They play such a turn of work. When you finish this manuscript, and B the number of hours they shared?

14. 3 2 yuan Huang balloon, flower balloon 3 yuan 2, the school bought a total of 32 balloons, balloon flower of which less than 4 yellow balloons, the school with more money to buy what kind of balloon?

15. a sailing speed of 60 m / min, and the vessel water speed of 20 m / min in the river, a port from the upstream to downstream of a place, and then return to the place, sharing 3 hours 30 minutes, the boat downstream from the upstream port to a place were gone how many meters?

16. A barn loaded 43 tons of flour, 37 tons of flour loaded silo B, if B granary flour into a granary, then a barn filled, the B barn barn B accounted for the rest of the flour capacity of 1 / 2; if a granary granary flour into B, then B granary is full, the rest of the flour in a barn silo capacity accounted for a 1 / 3, each of the granary of the number of tons of flour can be installed?

17. A number divided by B, B and C divided by the number of operators are equal, the remainder is 2, A and B of two numbers is 478. Then A, B and C are a few of many?

18. a car from point A to point B bound. If the speed reduced by 10%, then 1 hour later than the scheduled time arrives, if the original speed of 180 km, then the speed increased by 20%, then 1 hour earlier than scheduled to arrive. A and B is the distance between the two places many kilometers?

19. a school to participate in military training Marching Competition, organized a phalanx team. If the class size of 60, the square at least four classes of students to participate, if the class size of 70, the square at least three classes of students to participate. So the number of components of this matrix should be a few people?

20. A, B, C three lathe square and round two parts, known to a lathe processing of three parts each have a round 2; B lathe processing 4 each There are three parts is round; C lathe machining 5 parts each have four circular. Turning this day three round total of 58 parts processing, and processing the square 4:3:3 ratio of the number of parts, then this day a total of three lathe processing parts of several?

21. circle 30 meters long wire, the interception of wire length for the A's 3, the length of the metal line 5 B, the remaining wire length if the then intercepted two wires for the B short of 0.4 m, if the length of the interception of two metal lines are short of A 2 m length of A, equal to a few meters?

22. a company to be transported to the site A and B are two building materials. A kind of building materials per 700-kg, a total of 120, B building materials weight per 900 kg, a total of 80, a car known to carry up to 4 tons each, then five cars while transporting the same, at least a few times?

23. from Wang's journey home to school journey to the gym longer than 1 / 4, a day after Wang Li at the gym watching the game with 17 minutes to go home, rest a little later, he used 25 minutes walk to school, and its faster than the stadium came back from 15 meters per minute, slow, distance from home to school Wang is how many meters?

24. mentoring two have worked together to complete a project, as with the well, the master's work more efficient than when done alone increased by 1 / 10, apprentice to do the work alone to raise the efficiency ratio 1 / 5. Two have worked together 6 days, to complete all projects 2 / 5, followed by another single apprentice to do 6 days, when there are 13/30 for the project is not completed, if the project done by the master one, a few days to complete?

25. sixth grade five classes of students were planting 100. Planting of trees known number of each class is different, and according to the number of ranking from more to less exactly one, two, three, four, five classes. Also known group of several trees planted in the second and the number of trees planted three shifts and, second class the number of trees planted four or five classes a few of the trees planted and, then three shifts up to the number of trees planted?

26. A run of 13 kilometers per hour, run 11 kilometers per hour, B, B Bijia more than 20 minutes to run, the results of multi-running Bijia B 2 km. B Total number of km run?

27. a high degree of equal A, B two cylindrical containers, the port radius of 6 cm and 8 cm. A container filled with water in the container B is empty, put all the water in the container A into container B, the measured depth of the container than the container B in the high 7 / 8 is lower 2 cm. What is the height of the container centimeters?

28. There are 104 tons of cargo, with a load of 9 tons of automotive transportation. Known car takes 1 hour round trip each time, in fact, to fit more cars per 1 ton, then a few hours can be completed ahead of schedule.

29. division, only two parts the first day of a total of 225 processed the next day using the new process, the master processing components than the first day increased by 24%, an increase of 45% apprentice, they were processed part 300, the master processing the next day how many parts? Apprentice processing several parts?

30. Organization sixth grade elementary school students struggle to field training Baihuashan for camping, day trips increased by 2 km. To time by 4 days,UGG shoes, came back with a 3 days, and asked how many kilometers distance from their schools Baihuashan?

31. a place to receive standard tariff: Monthly electricity consumption does not exceed 50 degrees, each degree received 5 angle; if over 50 degrees, 8 degrees angle per excess charges. User A User B monthly pay more than 3 per 3 angle electricity, this month, A, B the number of kWh used?

32. king master planning process with a number of parts 2 hours, when the remaining 160 parts, machine failure, efficiency, lower than the original 1 / 5, the result 20 minutes later than originally planned to complete the task, which approved part number?

33. mother gave some money to buy a greeting card, red, with A, B, C three greeting cards, a kind of card, 1.20 each. Buy a card with these types of cards than buy more than 8 B, B to buy than to buy gamma card, buy 6 cards. How much money her mother gave the red? B How much of each card?

34. An old man has five sons and three houses, before dying intestate, the three sons of the house and give each one the three. As compensation, assigned to the three sons of the house out of 1,200 yuan per person, not assigned to a house divided between two sons. Everyone says that the distribution of fair and reasonable, then the value of each house is the number of dollars?

35. Xiao Ming and Xiao-yan of the pictures are less than 20, if A Xiaoyan Xiao Ming to this, the small book is out 2 times Xiaoyan; if Xiaoyan Xiao Ming A to this, the album Xiaoming Xiaoyan is 3 times. Xiao Ming and Xiao-yan have had much of the album?

36. red, yellow, white ball a total of three 160. If you remove the red ball is 1 / 3, yellow balls 1 / 4 white balls, 1 / 5, the left 120; If you remove the red ball is 1 / 5, the yellow balls 1 / 4, white balls of 1 / 3 116 is left to ask (1) the original yellow ball a few? (2) the original red ball, white ball of the few?

37. father, brother, sister, age three and is now 64 years old when my father's age is the age of 3 times my brother, my sister is 9 years old. When the brother's age is 2 times the age sister, the father is 34 years old. Now all three of the age is how old?

38. B in A, C between the two places. A from B to A to go to messenger, starting 10 minutes later, off to B from B to send another letter. B 10 minutes after departure, C and B is just the two letters that get turned upside down, so he starting riding from B to A and B to catch up to the letter to transfer over. Known A, B and speed equal to the speed of C is A, B and 3 times the speed, C from the departure to return the letter B to transfer over at least how much time?

39. A, B and two workshops a total of 94 workers a day were processed bamboo chair in 1998. Because of different equipment and technology, a workshop day, each worker can only produce an average of 15 bamboo chair, while the B plant can produce per day per worker on average 43 bamboo chair. A workshop production of bamboo chair every day workshop with a few more than the B?

40. A 10-minute walk home from school to be, B came home from school must walk 14 minutes. Known to B journey home away from home more than Bijia 1 / 6, a minute to walk 12 meters than B, then B is a few meters away from home?

41. a commodity cost of 72 yuan each, according to the original sale price, the sale of 100 per day per piece profit of 25% of the cost, then sell at prices 90% of the daily sales increase to the original 2.5-fold, according to this calculation, the daily increase of profits in dollars than the original?

42. A and B than the speed of two trains is 5:4. B car starter, bound from the B station A station, when the station went to 72 kilometers away from the B's place,cheap UGG boots, a car from the departure station A to station B, where two trains meet from the A, B from the two stations The ratio is 3:4, then the A, B the distance between the two stations the number of kilometers?

43. large and small monkeys were 35, they went to pick peaches. Monkey King is not the time, a monkey can pick 15 kilograms an hour, a monkey can pick 11 kg an hour. Monkey King, when the supervision, regardless of the size of each monkey can pick 12 kilograms per hour. One day, picking the 8 hours, of which only the first hour and last hour of the supervision of a Monkey, resulting in 4400 kg picking peaches. In the monkeys, there were a few small monkeys?

44. a number of times to set up a school contest, second prize. Known (1) A, B the number of award-winning two schools for the 6:5 ratio, (2) A, B and second prize for the coming year, the number of school sense of the sum of the two schools accounted for 60% of the total number of winners, (3) A, B. The number of the two schools won the second prize for the 5:6 ratio. Asked a second prize for the number of school accounted for a percentage of the total number of award-winning school is a few?

45. Known Xiao Ming and Xiao Qiang walking faster than a 2:3, the small intensity and Xiaogang walking faster than a 4:5. Known Xiao Ming Xiao Gang and more than 10 minutes to walk 420 meters, then 20 minutes Xiao Ming Xiao Qiang less than a few meters away?

46. processing of a number of parts, processing of the original plan of 15 a day, several days to complete. Upon completion of processing tasks 3 / 5, the introduction of new technology, efficiency increased by 20%. The results of doing the job 10 days ahead of time, these parts are there?

47. A, B and two in the 400 meters, 10,000 meters on a circular race track. They proceed from the starting point also in the same direction, the beginning of a speed of 8 m / s, B's rate of 6 m / s, when a B each time to catch up after a reduction of the speed of 2 meters per second, the speed of B 0.5 m per second less. This continues until the first time a B that he started to catch up from behind, they see themselves increase the speed of 0.5 meters per second, until the end. Then the leader at the finish, the other the number of meters from the finish?

48. Xiaoming from home to school, if he had more than an hour to go 1.5 km section of track that he only had time to go 4 / 5; if he had less than an hour to go 1.5 thousand m, then he walked this section of track time for a bit more time than a few of the original?

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