SOLUTION: If four people can make 24 chairs in 2 hours how many chairs can 5 people make in three hours?

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Question 625607: If four people can make 24 chairs in 2 hours how many chairs can 5 people make in three hours?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
If four people can make 24 chairs in 2 hours how many chairs can 5 people make in three hours?

4 people can make 24 chairs in 2 hours

So 1 person can make 6 chairs in 2 hours.

So 5 people can make 30 chairs in 2 hours

So 5 people can make 90 chairs in 6 hours.

So 5 people can make 45 chairs in 3 hours. 



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Or you can use the "workers-times-jobs" formula:

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D = %28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

where

W1 = number of workers in the first situation = 4
W2 = number of workers in the second situation = 5
T1 = number of time units in the first situation = 2
T2 = number of time units in the second situation = 3
J1 = number of jobs done in the first situation = 24
J2 = number of jobs done in the second situation = ?

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D = %28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

Substituting:

%284%2A2%29%2F24 = %285%2A3%29%2FJ%5B2%5D

%288%29%2F24 = %2815%29%2FJ%5B2%5D

1%2F3 = %2815%29%2FJ%5B2%5D

J2 = 45

Edwin