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The master and the apprentice worked together to make a batch of parts. The apprentice made a total of 27 parts, 21 less than the master. How many parts are there in this batch?
A: there are 49 parts in this batch
The three apprentices cooperate to process a batch of parts in five days. Apprentice a completes 12 of apprentice B's and apprentice B completes 12 of master's. If apprentice a works alone for two days, how many days will apprentice B cooperate with master to complete the rest of the work?
The efficiency of apprentice a: the efficiency of apprentice B: the efficiency of master is 1:2:4. The total number of shares: 1 + 2 + 4 = 7. The efficiency of apprentice a: 15 × 17 = 135. The efficiency of cooperation between apprentice B and master: 15 × 2 + 47 = 15 × 67 = 635
The master and the apprentice make a batch of parts at the same time and finish it in four and a half hours. It is known that the work efficiency ratio of the master and the apprentice is 5:3
The master and the apprentice make a batch of parts at the same time and finish it in four and a third of an hour. It is known that the work efficiency ratio of the master and the apprentice is 5: how many hours does it take for the apprentice to finish the batch of parts alone?
Method 1: it is easier to solve the proportion problem by setting unknowns in proportion
Suppose the apprentice completes 3x parts per hour, then the master can complete 5x parts per hour, so the two apprentices can complete 8x parts per hour, a total of (13 / 3) * 8x parts in four and one-third of an hour. Now this batch of parts are all completed by the apprentice. Dividing the total number by the number of parts completed by the apprentice per hour is the time required by the apprentice: (13 / 3) * 8x △ 3x = 104 / 9 hours, that is, 11 and one ninth of an hour
Method 2: arithmetic
From the work efficiency ratio of master and apprentice is 5:3, it can be seen that master can do 5, apprentice can do 3, master can do fast, apprentice can do slow, master can do one hour, apprentice can do 5 / 3 hours, then master can do four and one-third hours (13 / 3), apprentice can do (13 / 3) * (5 / 3) = 65 / 9 hours, plus apprentice can do four and one-third hours, That is the time required for the apprentice to complete this batch of parts alone, 65 / 9 + 13 / 3 = 104 / 9 hours, that is 11 and 1 / 9 hours
RELATED INFORMATIONS
- 1. It takes 20 hours for the master to work alone, 30 hours for the apprentice to work alone, and how many hours for the two to work together? When completing the task, the master made 96 more parts than the apprentice. How many parts are there in total?
- 2. It takes 37 hours for the master and the apprentice to process a batch of parts. The apprentice can process 30 parts per hour. Now the master and the apprentice process them at the same time. When they finish the task, the number of parts processed by the apprentice is 59 times that of the master?
- 3. It takes 15 hours for the master and the apprentice to process a batch of parts. The apprentice processes 30 parts per hour and completes the task at the same time. The number of parts processed by the apprentice is 5 / 9 of the master's
- 4. The master and the apprentice process a batch of parts. The number of parts processed by the master is 25 more than the total number of 12. The number of parts processed by the apprentice is 13 times that of the master. How many parts are there in total?
- 5. The master and the apprentice worked together to make a batch of parts. The apprentice made a total of 27 parts, 21 less than the master. How many parts are there in this batch?
- 6. A manuscript should be typed in half an hour for Party A and in one third an hour for Party B. the efficiency of Party A is the same as that of Party B
- 7. To make a batch of parts, it takes 12 hours for Party A to complete it alone. Given that the work efficiency ratio of Party A and Party B is 4:3, how long does it take for Party B to complete it alone? (answer in proportion)
- 8. It takes 15 hours for Party A to produce a batch of parts by itself, while the work efficiency of Party B is 50% higher than that of Party A. Party B can complete the work in a few hours by itself and cooperate with each other in a few hours
- 9. One half of a batch of parts can be finished in 18 days according to the plan. If the efficiency is improved by 1 / 8 after 3 days, the batch of parts can be finished How many days does it take for 1 / 3 of the total
- 10. If you make a batch of parts, you can finish one third of it in 18 days. If you work for 4 days, your work efficiency will be improved by one fifth How many days will it take to complete half of this batch of parts? The sixth grade method is easy to understand
- 11. How many parts are produced by apprentices in each batch? (the total number of apprentices in each batch is 8 hours.)
- 12. The master and the apprentice processed a batch of parts. The apprentice finished 40% of the total, and the master processed 240 parts. How many parts are there in total? (solution of a series of equations)
- 13. The master and the apprentice process a batch of parts. The apprentice completes 40% of the total. The master processes 80 more parts than the apprentice. How many masters?
- 14. The master and the apprentice process the same number of machine parts at the same time. When the master completes 50%, the apprentice takes 102 unfinished parts: when the master completes the task, the apprentice will finish the task The ratio of the number of parts processed by master and apprentice is 5:4?
- 15. The master and the apprentice process the same amount of the same machine parts at the same time. When the master processes half of the parts, there are 102 apprentices left. When the master finishes, the master will finish The ratio is 5:4! (explain with formula)
- 16. On Inequality: find y = (√ x square + 2x + 2) + (√ x square - 4x + 8)_ Minimum value of
- 17. It is known that ∠ 1 and ∠ 2 are opposite vertex angles, and ∠ 1 and ∠ 3 are adjacent complementary angles, then ∠ 2 + 3 is equal to? 2. When two lines intersect, there are two pairs of vertex angles. When three lines intersect, there are six pairs of vertex angles. So how many pairs of vertex angles are there when n lines intersect?
- 18. 1, 2 and 3 are the three internal angles of a triangle, 1 = 30 degrees, 2 = 40 degrees, 3 = () degrees. This is the () triangle 1 = 40 degrees 2 = 50 degrees 3 = () degrees this is a () triangle 1 = 50 degrees 2 = 60 degrees 3 = () degrees this is a () triangle 1 = 80 degrees 2 = 60 degrees 3 = () degrees this is a () triangle Get it right, there's a prize
- 19. At least one angle in the triangle is greater than or equal to: 45 degrees, 55 degrees, 60 degrees, 65 degrees?
- 20. (1/50-1)(1/49-1)(1/48-1).(1/4-1)(1/3-1)(1/2-1) Simple algorithm! Fast! Detailed process!