Q11 of 47 Page 172

A, B and C can do a piece of work in 15, 12 and 20 days respectively. They started the work together, but C left after 2 days. In how many days will the remaining work be completed by A and B?

Number of days A required do a piece of work : 15 days


Number of days B required do a piece of work : 12 days


Number of days C required do a piece of work : 20 days


Work done by A in one day:


Work done by B in one day:


Work done by C in one day:


Work done by A, B and C together in one day: =


They can do the work together in 5 days.


A, B and C worked together for 2 days, so work completed by A, B and C in 2 days : 2 =


Work left =


Work done by A and B together in one day: =


They can do the work together in days.


Number of days taken by A and B to complete the left over work : = 4 ( here is days required by A and B to complete the work).


Time taken to finish the left over work: 4 days.


More from this chapter

All 47 →
9

A can do a piece of work in 14 days while B can do it in 21 days. They began together and worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone. In how many days was the work completed?

 10

A can do of a certain work in 16 days and B can do of the same work in 3 days. In how many days can both finish the work, working together?

 12

A and B can do a piece of work in 18 days; B and C can do it in 24 days while C and A can finish it in 36 days. In how many days can A, B, C finish it, if they all work together?

 13

A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. How much time will A alone take to finish the job?