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Manoj is 2 times more efficient than Anurag, together they can complete the work in 22 days. Anurag alone can complete the work in how many days?
- A44
- B66
- C88
- D60
Answer not set
Discussion 1
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CCommunity
Let Anurag alone can do a piece of work in ‘x’ days.
⇒ Work done by Anurag in one day = 1/x
⇒ Work done by Manoj in one day = (2+1)/x = 3/x
Work done by Manoj and Anurag together in one day = 3/x + 1/x = 4/x
⇒ Time taken by Manoj and Anurag together to complete the work = 1/(4/x) = x/4
⇒ 22 = x/4
⇒ x = 88 days
∴ Time taken by Anurag alone to complete the work = 88 days
⇒ Work done by Anurag in one day = 1/x
⇒ Work done by Manoj in one day = (2+1)/x = 3/x
Work done by Manoj and Anurag together in one day = 3/x + 1/x = 4/x
⇒ Time taken by Manoj and Anurag together to complete the work = 1/(4/x) = x/4
⇒ 22 = x/4
⇒ x = 88 days
∴ Time taken by Anurag alone to complete the work = 88 days