SOLUTION: Together Bill and Fred working at the same rate rake a yard in an hour and a half. If three of their friends had joined them at the start and also worked at the rate, it would have

Question 653004: Together Bill and Fred working at the same rate rake a yard in an hour and a half. If three of their friends had joined them at the start and also worked at the rate, it would have taken them ___ minutes for the five of them to rake the yard.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Together Bill and Fred working at the same rate rake a yard in an hour and a half.
If three of their friends had joined them at the start and also worked at
the rate, it would have taken them ___ minutes for the five of them to
rake the yard.
:
let the completed job = 1
Find the rate (r) using Bill and Fred
:
+ = 1
Multiply by r
1.5 + 1.5 = r
r = 3 hrs for one man to do the job
:
Let t = time required for 5 to do it
:
+ + + + = 1
= 1
5t = 3
t = 3/5 * 60 min = 36 min when all 5 do the job

RELATED QUESTIONS
(a) Kyle and Andrew decide to make some money by raking leaves in their neighborhood. The (answered by ankor@dixie-net.com)

Working alone, Andy can rake the leaves in his yard in 3 hours. His sister Emma, working (answered by Alan3354)

If it takes Luke 3 hours to rake a yard, and Don 5 hours to rake the same yard, how long... (answered by Fombitz,Edwin McCravy)

Bob takes 2 hours longer to build a table than Fred takes. If they work at the same rate... (answered by richwmiller)

Alan can rake leaves in a yard in 12 minutes. Barry can rake the same yard in 10 minutes (answered by richwmiller)

Greg and Joan are trying to decide whether to take on a job that is scheduled to take... (answered by josgarithmetic)

Greg and Joan are trying to decide whether to take on a job that is scheduled to take... (answered by josmiceli,Boreal,MathTherapy)

Jim and Shirley, working together, can rake the yard in 3 hours. Working alone, Shirley... (answered by lwsshak3,josgarithmetic)

Three friends a,b,c can do a piece of work in T hours working together. working alone, a... (answered by AnlytcPhil)