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?

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) (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)
:
+ = 1
:
Multiply equation by a multiple of the two denominators, 15 will do this:
15* + 15* = 15(1)
5t + 3t = 15
:
8t = 15
t =
t = 1.875 hrs or 1 hr 52.5 minutes
:
:
Check solution, replace t with 1.875 in original equation:
+ = 1
.625 + .375 = 1.00

RELATED QUESTIONS
Two bricklayers, Sam and Joe, are working on your house. Sam can complete the work in 5... (answered by stanbon,checkley79)

Arpit can fence a garden in 3 hours, Ankur can do it in 5 hours and Aakash takes 6 hours... (answered by ptaylor)

Tom can do a job in 4 hours, Joy can do the same job in 3 hours, How many hours will it... (answered by josmiceli)

A master painter can paint the room in 5 hours, while his apprentice can do the same job... (answered by Boreal)

Thomas can do a job in 4 hours. Julia can do the same job in 6 hours. How many hours... (answered by fractalier)

Tomas can do a job in 4 hours. Julia can do the same job in 6 hours. How many hours will... (answered by solver91311)

Azra can do a job in 4 hours that Halcyon can do in 3 hours and Silfer can do in 2 hours. (answered by Camille40)

alice can do a job in 4 hours, christina can do the same job in 5 hours. how long would... (answered by ikleyn)

AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2... (answered by ikleyn)