Ravi can complete a task in 6 days and Mohan can complete the task in

1.	Ravi can complete a task in 6 days and Mohan can complete the task in 9 days. In how many days can Ravi and Mohan together complete the same task?1. \(3\frac{3}{5}\) days2. 9 days3. 15 days4. \(3\frac{2}{5}\) days
Answer» Correct Answer - Option 1 : \(3\frac{3}{5}\) days Given: Ravi can complete the task in 6 days Mohan can complete the task in 9 days Formula used: Total work = Efficiency × Time Calculation: Taking L.C.M of 6 and 9 ⇒ L.C.M of 6 and 9 = 18 ⇒ Efficiency of Ravi = (18/6) = 3 ⇒ Efficiency of Mohan = (18/9) = 2 Time taken by Ravi and Mohan together to complete the work = 18/(3 + 2) = 18/5 ⇒ 18/5 = \(3\frac{3}{5}\;days\) ∴ Ravi and Mohan together can complete the task in \(3\frac{3}{5}\;days\).

Ravi can complete a task in 6 days and Mohan can complete the task in 9 days. In how many days can Ravi and Mohan together complete the same task?1. \(3\frac{3}{5}\) days2. 9 days3. 15 days4. \(3\frac{2}{5}\) days

Answer» Correct Answer - Option 1 : \(3\frac{3}{5}\) days

Given:

Ravi can complete the task in 6 days

Mohan can complete the task in 9 days

Formula used:

Total work = Efficiency × Time

Calculation:

Taking L.C.M of 6 and 9

⇒ L.C.M of 6 and 9 = 18

⇒ Efficiency of Ravi = (18/6) = 3

⇒ Efficiency of Mohan = (18/9) = 2

Time taken by Ravi and Mohan together to complete the work = 18/(3 + 2) = 18/5

⇒ 18/5 = \(3\frac{3}{5}\;days\)

∴ Ravi and Mohan together can complete the task in \(3\frac{3}{5}\;days\).

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