SOLUTION: a and b can each do a piece of work in 15 days and 18 days. if a works for 10 days, how long will b alone take to complete the job ??

Question 907878: a and b can each do a piece of work in 15 days and 18 days. if a works for 10 days, how long will b alone take to complete the job ??
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a and b can each do a piece of work in 15 days and 18 days. if a works for 10 days, how long will b alone take to complete the job ??
-----
a's rate = 1/15 job/day
In 10 days "a" completes 10(1/15) = 2/3 of the job.
-----
b's rate = 1/18 job/day
---
Equation:
In "x" days "b" must complete 1/3 of the job
x(1/8) = 1/3
x = (1/3)/(1/18)
x = 6 days
====================
Cheers,
Stan H.
-----------------

RELATED QUESTIONS
1.'A' works twice as fast as 'B'. If both of them together take 6 days to complete the... (answered by josmiceli,vvnrichards)

Alan can do a piece of work in 15 days; Bill can do it in 20 days. If Alan works alone on (answered by josmiceli)

Two teams working together can complete the project in 45 days. Team A works for 18 days... (answered by ptaylor)

A does 3/10 of a work in 6 days .He then calls in B and they finish the work in 7 days... (answered by ankor@dixie-net.com)

A, B, and C can do a piece of work in 10 days. A and B can do it in 12 days, A and C in... (answered by josmiceli)

A,B, and C can do a piece of work in 10 days. A and B can do it in 12 days, A and C in 20 (answered by dkppathak)

A,B and C do a piece of work in 10 days. A and B can do it in 12 days. A and C in 20... (answered by savvyhush23)

A and B can do a piece of work in 40/3 days. A alone can do the work in 20 days. How long (answered by mananth)

manny and manuel can finish a certain job if manny works for 15 days and manuel works for (answered by greenestamps)