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Arun can complete a piece of work in 15 days. Ritesh joined him after working for 3 days. If they complete the remaining work in 3 extra days, then in how many days Ritesh alone can complete the work?

Arun can complete a piece of work in 15 days. Ritesh joined him after working for 3 days. If they complete the remaining work in 3 extra days, then in how many days Ritesh alone can complete the work? Correct Answer 5

Given:

The Arun alone can complete the work = 15 days

Formula used:

W = E × T   (Where, W = Work, E = Efficiency and T = Time)

Calculation:

Let be assume Ritesh alone can complete the work in R days

⇒ The efficiency of Arun = 1/15

⇒ The efficiency of Ritesh = 1/R

⇒ Remaining work after 3 days working of Arun = {1 - 3 × (1/15)}

⇒ 1 - 1/5 = 4/5

⇒ The efficiency of Arun and Ritesh = 1/15 + 1/R

⇒ The 4/5 work both can complete = 3 days

⇒ Both can complete the work = 3 × (5/4) = 15/4 days

⇒ 1/15 + 1/R = 4/15

⇒ 1/R = 4/15 - 1/15 = (4 - 1)/15 = 3/15 = 1/5

⇒ Ritesh alone can complete the work = 5 days

∴ The required result will be 5 days.

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