A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each of t

Question

A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each of t

A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each of them take to complete the job?

Share with your friends

Talk Doctor Online in Bissoy App

Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

Work done by A and B in 1 day=1/12
Work done by B and C in 1 day=1/15
Work done by C and A 1 day=1/20
Adding all the three, we get, work done by
`2(A+B+C)` in 1 day=`1//12+1//15+1//20=1//5`
`:.` A,B and C can together finish 1/10th of the work in 1 day.
`:.` Work done by A in 1 day=Work done by A,B and C in 1 day-Work done by B and C in 1 day`=1//10-1//15=//30`
`:.` A alone can do it in 30 days.
Work done by B in 1 day=`1//10-1//20=1//20`
`:.` B alone can do it in 20 days.
Work done by C in 1 day`=1//10-1//12=1//60`
`:.` C alone can do it in 60 days.

A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each of t

1 Answers