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Ravi and Mohan together can complete a task in 3 days. Ravi alone can complete the same task in 7 days. How many days will Mohan alone take to complete the same task?
1. \(5\frac{1}{4}\) days
2. \(4\frac{1}{5}\) days
3. 10 days
4. 4 days

1 Answer

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Best answer
Correct Answer - Option 1 : \(5\frac{1}{4}\) days

Given 

Ravi and Mohan can complete work = 3 days

Ravi alone complete the work = 7 days

Formula Used

Work = time × efficiency 

Calculation

⇒ LCM of (3, 7) = 21

⇒ Let the total work be 21

⇒ Efficiency of Ravi and Mohan together = 21/3 = 7

⇒ Efficiency of Ravi alone = 21/7 = 3

⇒ Efficiency of Mohan = 7 - 3 = 4 

⇒ Mohan takes time to complete the work alone = 21/4 = \(5\frac{1}{4}\) days 

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