SOLUTION: A, B & C can do a piece of work in 30,20 & 10 days respectively. A is assisted by B on one day & by C on the next day alternatively. How long would the work take to finish ?

Question 1053830: A, B & C can do a piece of work in 30,20 & 10 days respectively. A is assisted by B on one day & by C on the next day alternatively. How long would the work take to finish ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A, B & C can do a piece of work in 30,20 & 10 days respectively.
A is assisted by B on one day & by C on the next day alternatively.
How long would the work take to finish ?
:
let t = A's time to do the job with all working as described above
B & C worked half the time,therefore
.5t = time worked by B & C
let the completed job = 1
Each will do a fraction of the job, the 3 fractions add up to 1
:
+ + = 1
multiply equation by 300 to cancel the denominators
10t + 15(.5t) + 30(.5t) = 300
10t + 7.5t + 15t = 300
32.5t = 300
t = 90.231 days to complete job
RELATED QUESTIONS
Anne, Bella and Cindy can do a piece of work in 20, 30 and 60 days respectively. a) In... (answered by ikleyn,greenestamps,MathTherapy)

Q1: A,B and C can do a piece of work in 36,24 and 18 days respectively.if A is assisted... (answered by stanbon)

A can do a piece of work in 10 days, B can do the same in 30 days and C in 60 days. If A... (answered by josgarithmetic)

A can make a wall in 10 days, B can make in 20 days and C cn make in 30 days. If A is... (answered by MathLover1)

A can do a work in 8 days and B can do a work in 7 days. A works on the first day ,B... (answered by ankor@dixie-net.com)

A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work... (answered by richwmiller)

7) A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work (answered by richwmiller)

5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In... (answered by jorel555)

A can do a work in 36 days, B can do the work in 72 days and C can do the work in 78... (answered by ankor@dixie-net.com)