Question

Aysha completes a piece of work in 10 days. She works for 6 days and leaves. The remaining work is done by Suman in 2 days . In how many days can Suman complete the work alone?
1. 4 days
2. 5 days 
3. 10 days
4. 6 days

Answer 1

Correct Answer - Option 2 : 5 days 

Given:

Aysha can complete the work in 10 days 

Working days of Aysha = 6 

Remaining work complete by Suman in 2 days

Concept used:

If work complete in n days 

Then one day work = 1/n part of total work

Calculation:

Let the total work be 1 unit

Work done by Aysha in one day = 1/10

Work done by Aysha in 6 days = 6/10

⇒ Remaining work = 1 - (6/10) = 4/10

Time taken by Suman to complete 4/10 part of work is 2 day 

⇒ 2 days → 4/10 part of work 

⇒ 1 day → 4/20 = 1/5 part of work

⇒ 5 days → 1 unit 

∴ In 5 days Suman can complete the work alone.