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Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work? Correct Answer 13.5

Calculation:

Let R and G be the rates of work of Ramesh and Ganesh respectively.
Let (R + G)16 = 1
⇒ R + G = 1/16

(R + G)7 =7/16
Remaining work to be done = 1 – 7/16 = 9/16

Given, (0.7R + G)10 = 9/16
⇒ 7R + 10G = 9R + 9G

⇒ G = 2R

After calculating we get,

⇒ R = 1/48

⇒ G = 1/24
Time taken by Ganesh alone to complete the work = (9/16)/(1/24) = 13.5

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