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Ravi, Rohan and Rajesh alone can complete a work in 10, 12 and 15 days respectively. In how many days can the work be completed, if all three work together? A. 4 days B. 5 days C. 3 days D. 8 days

Ravi, Rohan and Rajesh alone can complete a work in 10, 12 and 15 days respectively. In how many days can the work be completed, if all three work together? A. 4 days B. 5 days C. 3 days D. 8 days Correct Answer A

Ravi can complete a work in = 10 days

∴ In 1 day Ravi can do = 1/10

Rohan alone can complete a work in = 12 days

∴ In 1 day Rohan can do = 1/12

Rajesh alone can complete a work in = 15 days

∴ In 1 day Rajesh can do = 1/15

∴ In 1 day they together can do = 1/10 + 1/12 + 1/15 = (6 + 5 + 4)/60 = 1/4

∴ They together can complete the work in = 4 days

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