Question

Ram and Shayam can complete a work together in 28 days, Shayam alone complete it in 49 days, both of them work for 8 days then Ram leave the work, In how many days Shayam will finish the remaining work?

1. 40 days
2. 25 days
3. 30 days
4. 35 days
5. None of these

Answer 1

Correct Answer - Option 4 : 35 days

Given:

Ram and Shayam can complete a work together = 28 days

Shayam alone can complete work = 49 days

Both Ram and Shayam work for 8 days then Ram leave the work

Concept:

Total work = Time × Efficiency

Calculation:

Work done by	Time taken (in day)	Efficiency
Ram + Shayam	28	196/28 = 7
Shayam	49	196/49 = 4
Total work = L. C. M. = 196

 

 

 

 

 

 

Both Ram and Shayam work done in 8 days = 8 × 7 = 56 unit

Remaining work = 196 – 56 = 140 unit

Let, Remaining work done by Shayam in x days

Then, x = 140/4 = 35 days

∴ Shayam will finish the remaining work in 35 days.