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Aakash, Birwa, and Chirag can complete a work in 12, 15, and 10 days respectively. If Chirag left the work 5 days before the work was completed and Aakash left two days after Chirag left, then find the number of days when the work would get completed.

Aakash, Birwa, and Chirag can complete a work in 12, 15, and 10 days respectively. If Chirag left the work 5 days before the work was completed and Aakash left two days after Chirag left, then find the number of days when the work would get completed. Correct Answer 7 days

Given:

Aakash can complete a work in = 12 days

Birwa can complete a work in = 15 days

Chirag can complete a work in = 10 days

Chirag left the work 5 days before the work was completed

Aakash left the work 3 days before the work was completed

Calculation:

Let the whole work be 1.

Let the days required to do the whole work be x.

Aakash’s 1 day’s work = 1/12

Birwa’s 1 day’s work = 1/15

Chirag’s 1 day’s work = 1/10

⇒ (x - 3)/12 + x/15 + (x - 5)/10 = 1

⇒ 5(x - 3) + 4x + 6(x - 5) = 60

⇒ 15x – 45 = 60

⇒ 15x = 105

⇒ x = 7

∴ to complete the whole work 7 days are required.

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