SOLUTION: I'm helping to teach some Soldiers in math when I came across a question that stumped me. I'm hoping you can help out. If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how

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Question 498927: I'm helping to teach some Soldiers in math when I came across a question that stumped me. I'm hoping you can help out.
If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how long will it take for 3 boys to build 11 sandcastles?
Thanks in advance!
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how long will it take for 3 boys to build 11 sandcastles?
------------------
2 boys * 3 1/3 hrs = 20/3 boy-hrs to build 6
--> 10/9 boy-hrs per castle
--------------
11 castles --> 110/9 boy-hrs
(110/9) boy-hrs/3 boys = 110/27 hours
=~ 4.074 hours

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how long will it take for 3 boys to build 11 sandcastles?
Thanks in advance!
The easiest way to do job-worker-time problems is to use the formula:



where

W1 = the number of workers in the first situation.
T1 = the number of time units (hours 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 (hours in this case) in the second situation.
J2 = the number of jobs in the second situation.

W1 = 2             W2 = 3     
T1 =             T2 = the unknown quantity 
J1 = 6             J2 = 11



Substituting:



Multiply both sides by the LCD of 66 to clear of fractions:





Change  to , Multtiply 6×3 on the right



Multiply both sides by 3















Answer:  hours, or about 4 hours and 4.4 minutes.

Edwin
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