Reeta, Seeta and Geeta can complete the work in 15 days, after working with Seeta and Geeta for 5 days Reeta leaves work. Then Seeta and Geeta will finish the work in 20 more days. In how many days Reeta alone can complete the work?

Reeta, Seeta and Geeta can complete the work in 15 days, after working with Seeta and Geeta for 5 days Reeta leaves work. Then Seeta and Geeta will finish the work in 20 more days. In how many days Reeta alone can complete the work? Correct Answer 30 days

Given:

Reeta, Seeta and Geeta can complete the work in 15 days

Calculation:

Reeta, Seeta and Geeta finish the work together in 15 days,

⇒ 1 day work of Reeta, Seeta and Geeta together = 1/15 units

Reeta, Seeta and Geeta work together for 5 days

⇒ Work done in 5 days = 5/15 units = 1/3

Remaining work = 1 – 1/3 = 2/3

Now,

Seeta and Geeta complete the remaining work in 20 Days

1 day work of Seeta and Geeta = (2/3)/20 units = 1/30 units

⇒ Reeta can finish the work in one day = 1/15 – 1/30 = 1/30

∴ Reeta alone can complete the work in 30 days.

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