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three farmer Ramesh, Rakesh, and Rajesh are farming of a farm. Ramesh is 48 more efficient than Rakesh, who is 20 more efficient than Rajesh. Ramesh takes 10 days less than Rakesh to complete the work. Ramesh starts farming for 10 days and then Rakesh takes over. Rakesh farming for the next 15 days. In how many days Rajesh can complete the remaining work?

three farmer Ramesh, Rakesh, and Rajesh are farming of a farm. Ramesh is 48 more efficient than Rakesh, who is 20 more efficient than Rajesh. Ramesh takes 10 days less than Rakesh to complete the work. Ramesh starts farming for 10 days and then Rakesh takes over. Rakesh farming for the next 15 days. In how many days Rajesh can complete the remaining work? Correct Answer 7.2 days

Calculation:

The ratio of efficiency of Ramesh, Rakesh and rajesh = 168 ∶ 120 ∶ 100 = 42 : 30 : 25

Ratio of time taken by Ramesh and Rakesh = 5 : 7

Ramesh takes 10 days less than Rakesh so,

⇒ 2 unit = 10

⇒ 1 unit = 5

⇒ Time taken by Ramesh = 25 days

⇒ Time taken by rakesh = 35 days

Ratio of time taken by Rakesh and rajesh = 5 : 6

⇒ Time taken by Rajesh = 42 days

Part of work completed by Ramesh = 10/25 = 2/5

Part of work completed by Rakesh = 15/35 =3/7

Remaining work = 1 – 2/5 – 3/7 = 6/35

∴ Time taken by Rajesh to complete work = 42 × 6/35 = 7.2 days

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