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Rishav and Riya complete a project in 30 days. While Riya and Malika complete the same project in 24 days. Malika and Rishav complete the project in 20 days. They all work together for 10 days while Riya and Malika leave. How many days more will Rishav take to finish the work?

Rishav and Riya complete a project in 30 days. While Riya and Malika complete the same project in 24 days. Malika and Rishav complete the project in 20 days. They all work together for 10 days while Riya and Malika leave. How many days more will Rishav take to finish the work? Correct Answer 18 days

Given:

Rishav and Riya Complete a project = 30 days

Riya and Malika complete the same project = 24 days

Malika and Rishav complete the project = 20 days

Calculations:

2 (Rishav + Riya +Malika)1 day’s work = (1/30 + 1/24 + 1/20) = 15/120 = 1/8

(Rishav + Riya +Malika)1 day’s work = 1/16

Work done by (Rishav + Riya +Malika) in 10 days = 10/16 = 5/8

Remaining work = 1-5/8 = 3/8

Rishav one day work = 1/16 – 1/24 = 1/48

Now 1/48 work done by Rishav in 1 days

3/8 work done by Rishav in = 48 × 3/8 = 18 days.

∴ more work done by Rishav in 18 days.

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