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Puneet completes a work in 12 days and Rachna completes a work in 6 days. But Puneet worked only for 4 days and Rachna worked only for 2 days. The remaining work was done by Sahil and Sachin who alone can complete the work in 10 days and 6 days respectively. Ratio of the number of days for which Sahil and Sachin worked is 1 : 1. Find the total number of days for which Rachna, Sahil, and Sachin worked.

Puneet completes a work in 12 days and Rachna completes a work in 6 days. But Puneet worked only for 4 days and Rachna worked only for 2 days. The remaining work was done by Sahil and Sachin who alone can complete the work in 10 days and 6 days respectively. Ratio of the number of days for which Sahil and Sachin worked is 1 : 1. Find the total number of days for which Rachna, Sahil, and Sachin worked. Correct Answer 4.5 days

Given:

Puneet completes work in 12 days.

Rachna completes work in 6 days.

Puneet worked only for 4 days and Rachna worked only for 2 days.

Ratio of number of days worked by Sahil and Sachin = 1 : 1

Calculation:

Work done by Puneet in 4 days = 4/12

Work done by Rachna in 2 days = 2/6

⇒ Work done by Puneet and Rachna = = 2/3

⇒ Remaining work = 1 – 2/3 = 1/3

Let Sahil and Sachin each works for x days.

⇒ (x/10) + (x/6) = 1/3

⇒ = 1/3

⇒ 8x/30 = 1/3

⇒ x = 1.25 days

Sahil and Sachin, each worked for 1.25 days

∴ Sahil, Sachin and Rachna worked for 4.5 days

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