SOLUTION: A wall of length 40feet is constructed by 10 masons in 5 days. In how many days will 6 masons construct the same wall

Algebra ->  Test -> SOLUTION: A wall of length 40feet is constructed by 10 masons in 5 days. In how many days will 6 masons construct the same wall       Log On


   



Question 1108671: A wall of length 40feet is constructed by 10 masons in 5 days. In how many days will 6 masons construct the same wall

Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
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 (days 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 (days in this case) in the second situation.
J2 = the number of jobs in the second situation.

W1 = 10             W2 = 6
T1 =  5             T2 = the unknown quantity
J1 =  1             J2 = 1

[Notice that there is only 1 job done in both situations]

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

%2810%2A5%5B%22%22%5D%5E%22%22%29%2F1%5E%22%22%22%22=%22%22%286%2AT%5B2%5D%5E%22%22%29%2F1%5E%22%22

50%22%22=%22%226T%5B2%5D

50%2F6%22%22=%22%22T%5B2%5D

50%2F6%22%22=%22%22T%5B2%5D%22%22=%22%228%261%2F3days

Edwin