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A, B and C can do a piece of work in 10, 15 and 30 days respectively. If A works on the first day, B on the second day and C works on the third day and again the same process is repeated. How long will it take to complete the work if take to complete the work if they works in this manner.

A, B and C can do a piece of work in 10, 15 and 30 days respectively. If A works on the first day, B on the second day and C works on the third day and again the same process is repeated. How long will it take to complete the work if take to complete the work if they works in this manner. Correct Answer 15

A can complete the work in 10 days.

⇒ A’s 1 day’s work = 1/10

B can complete the work in 15 days.

⇒ B’s 1 day’s work = 1/15

C can complete the work in 30 days.

⇒ C’s 1 day’s work = 1/30

According to the question, A works on the first day, B on the second day and C works on the third day and again the same process is repeated.

⇒ Their 3 day’s work = (1/10) + (1/15) + (1/30) = 1/5

⇒ Their (5 × 3 =) 15 day’s work = 5/5 = 1

∴ They can complete the work in 15 days

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