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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?

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? Correct Answer 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.

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