SOLUTION: if 3 people can build a wall in 25 minutes, how long will it take for 5 people to build the same wall

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Question 684598: if 3 people can build a wall in 25 minutes, how long will it take for 5 people to build the same wall
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
if 3 people can build a wall in 25 minutes, how long will it take for 5 people to build the same wall
First way:

The LCM of 3 people and 5 people is 15 people.  15 people can build a wall in
1/5 the the time that only 3 people can or 1/5th of 25 minutes, or 5 minutes.
5 people will take 3 times as long as 15 people, and 3 times 5 minutes is 15
minutes.
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Second way:

Use the worker-time-job formula, which is:

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

where

W1 = the number of workers in the first situation.
T1 = the number of time units (minutes in this case) in the first situation.
J1 = the number of jobs in the first situation.

W2 = the number of workers in the second situation.
T2 = the number of time units (minutes in this case) in the second situation.
J2 = the number of jobs in the second situation.

W1 = 15             W2 = 5     
T1 = 25             T2 = the unknown quantity 
J1 =  1             J2 = 1

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

%283%2A25%29%2F1%22%22=%22%22%285%2AT%5B2%5D%29%2F1

75%22%22=%22%225T%5B2%5D

75%2F5%22%22=%22%22T%5B2%5D

15%22%22=%22%22T%5B2%5D

Answer: 15 minutes.
  
Edwin