Question

Sunil can do a piece of work in 10 days e
Nikhil alone can do it in 12 days . Nikhil
works at it for 3 days and then leaves .
Sunil alone can finish the remaining
work in​

Answer 1

Answer:

Sunil can do 75 % work = 7.5 day

That is

Sunil need 7 and half day to complete the work

Step-by-step explanation:

We are given

Sunil can complete the work in 10 days = 100 %

So

work done by Sunil in 1 day = 100% / 10 = 10 %

Now

Similarly

Nikhil can complete the work in 12 days = 100 %

So

work done by Nikhil in 1 day = 100% / 12 = 25/3 %

Now

work done by Nikhil in 3 day = 3 × 25/3 % = 25 %

Remaining work = 100% - 25% = 75 %

So

Sunil have to do work = 75 %

Since

Sunil can complete the work in 10 days = 100 %

Sunil can do 1 % work = 10/100 days = 1/10 days

Sunil can do 75 % work = 75 × 1/10 = 75/10 = 7.5 day

Thus Sunil need 7 and half day to complete the work