Question

Atul alone can finish work in 30 days while anil alone can finish it in 10 days. If they worked together for 4 days, how much fraction of work will be remaining?

Answer 1

Answer:

Atul alone can finish the work in 30 days. It means in one day atul is capable of completing 1/30 of the work.

From the above two statements, we can conclude the following -

1/10 (workdone in a day if both work together) = 1/30 of the work (Salim alone can finish in a day) + X (Ali alone can finish in day)

Therefore, 1/10 = 1/30 + X

If you solve the above equation, you will get value of X = 1/15. Note that X is the amount of work Ali can complete in a day, which is One upon Fifteen (1/15). Hence to complete the full work alone, Ali will take 15 days.