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Aman can do a piece of work in 21 days. Bhanu is 50% more efficient than Aman. Chandu is twice efficient than Bhanu. Aman started the work alone and worked for some days and left the work then Bhanu and Chandu joined together and completed the work in 2 days. Then how many days Aman initially worked?

Aman can do a piece of work in 21 days. Bhanu is 50% more efficient than Aman. Chandu is twice efficient than Bhanu. Aman started the work alone and worked for some days and left the work then Bhanu and Chandu joined together and completed the work in 2 days. Then how many days Aman initially worked? Correct Answer 12 Days

Efficiency of Aman = 1/21

Efficiency of Bhanu = 1/21 × 3/2 = 1/14

Efficiency of Chandu = 1/14 × 2 = 1/7

Let, Aman initially worked for x days

According to question,

x/21 + 2 × (1/14 + 1/7) = 1

⇒ x/21 = 1 - (3/7)

⇒ x = 12 days

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