SOLUTION: 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 is assisted on alternate days by B and C, in how many days would the work get completed?

Algebra ->  Equations -> SOLUTION: 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 is assisted on alternate days by B and C, in how many days would the work get completed?      Log On


   

Question 935441: 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 is assisted on alternate days by B and C, in how many days would the work get completed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
B and C work an (approximately) equal number of days, and each works HALF the number of days that A works.

Let t be number of days that A worked, and the whole job to be done is 1.
The rule is RT=J for rate, time, job. The rate expression is a little more complicated, since it is composed of a sum of terms.

I might be misunderstanding the description, but:
%281%2F2%29%281%2F10%2B1%2F30%29t%2B%281%2F2%29%281%2F10%2B1%2F60%29t=1
which shows half the days A and B do the work, and the other half of the days, A and C do the work, until the whole job is done.

Another understanding may be that half the days, A works alone and on the other half of the days, both B and C help:
%281%2F2%29%281%2F10%29t%2B%281%2F2%29%281%2F10%2B1%2F30%2B1%2F60%29t=1


One or the other of those should be the correct interpretation. Solve for t (and accept the result which seems to work right, or the one that matches your answer key if it's available).