Question

WORM
9. A and B can do a job together in 25 days. After 15 days of working together, B leaves. If A
completes the remaining part of the job in 20 days, how long would each take to complete
the job. working separately?

Answer 1

Let A can do the complete work in X-days. B can do the complete work in Y- days.

So 1/X+1/Y=1/25.

In 25- days both will do= 15/25 =3/5work .

The remaining 2/5-work is done by A in 20 days.

So in 1-day A can do= (2/5)÷(20) =1/50 work

Substituting Eqn---5 in Eqn--2 we get 1/Y= 1/25 -1/50= 1/50.

Therefore the values of X and Y are 50 and 50 each.

So A can separately do the complete work in 50 -days, and B can also do the complete work in 50- days.

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