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Shalini, Deepti and Richa works on the project to understand the behaviourof lovers. Shalini, Deepti and Richa finished the project in 7, 14 and 21 days. They decide to take turns and complete the work with Salini alone working on Sunday, Deepti alone on Monday and Richa alone on Tuesday and so on. What fraction of the work is done by Richa?

Shalini, Deepti and Richa works on the project to understand the behaviourof lovers. Shalini, Deepti and Richa finished the project in 7, 14 and 21 days. They decide to take turns and complete the work with Salini alone working on Sunday, Deepti alone on Monday and Richa alone on Tuesday and so on. What fraction of the work is done by Richa? Correct Answer 1/7

Given:

Shalini, Deepti and Richa finished the project in 10, 15 and 20 days

Calculations:

Shalini one day work = 1/7

Deepti one day work = 1/14

Richa one day work = 1/21

Work done in 3 days = 1/7 + 1/14 + 1/21 = 11/42

Work done in 9 days = (3 × 11)/42 = 33/42

Remaining work = 1 - 33/42 = 9/42

10th day work done by = 6/42

Remaining work = 3/42

11th day work done = 3/42

Then work finished.

In whole the work Richa works only for 3 days days.

Fraction of work done by Richa = 3/21 = 1/7

∴ Fractions of work done by Richa is 1/7.

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