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Rohit completes 30% of work in 7.5 days. Raju is 50% as efficient as Rohit, Venu is 50% as efficient as Raju. Now Raju and Venu joined with Rohit for the rest of the work then in how many days will take to complete the remaining work.

Rohit completes 30% of work in 7.5 days. Raju is 50% as efficient as Rohit, Venu is 50% as efficient as Raju. Now Raju and Venu joined with Rohit for the rest of the work then in how many days will take to complete the remaining work. Correct Answer 10 days 

Given  

Rohit completes 30% of work in 7.5 days.

Raju is 50% as efficient as Rohit

Venu is 50% as efficient as Raju

Formula used 

Work = Time × Efficiency

Calculation

Rohit takes 25 days to complete the work

Raju takes 50 days

Venu takes 100 days

Now 70% work is left

Part of the work they can complete in 1 day = (1/25 + 1/50  + 1/100) = 7/100 

Hence, the remaining work (70% of total work) is completed in = (70/100) × (100/7) = 10 days

∴ The remaining work is completed in 10 days.

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