SOLUTION: Rey can do a story in 3 hours while Joe can do it in 5 hours.In how many hours can the two boys do the work , if they worked together?

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Question 175570: Rey can do a story in 3 hours while Joe can do it in 5 hours.In how many hours can the two boys do the work , if they worked together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rey can do a story in 3 hours while Joe can do it in 5 hours.In how many hours can the two boys do the work , if they worked together?
:
Let t = time required if they work together
:
Let the completed job = 1 (1 story)
:
t%2F3 + t%2F5 = 1
:
Multiply equation by a multiple of the two denominators, 15 will do this:
15*t%2F3 + 15*t%2F5 = 15(1)
5t + 3t = 15
:
8t = 15
t = 15%2F8
t = 1.875 hrs or 1 hr 52.5 minutes
:
:
Check solution, replace t with 1.875 in original equation:
1.875%2F3 + 1.875%2F5 = 1
.625 + .375 = 1.00