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Raja and Ram together can build a house in 30 days. Raja having worked for 16 days, Ram finishes the remaining work alone in 44 days. In how many days shall Ram finish the whole work alone?

Raja and Ram together can build a house in 30 days. Raja having worked for 16 days, Ram finishes the remaining work alone in 44 days. In how many days shall Ram finish the whole work alone? Correct Answer 60

Given:

Raja + Ram = 30 days

Raja worked = 16 days

Ram finishes rest = 44 days

Formula used:

Total work done (1/T) = (1/T1) + (1/T2) + (1/T3)

Where, T, T1, T2, T3 is time taken to complete the work in days

Calculation:

Assuming raja’s one day of work to be X and ram’s as Y

⇒ X + Y = (1/30)      ….(1)

⇒ 16X + 44Y = 1      ….(2)

Solving equation 1 and 2

⇒ X = 1/60

⇒ Y = 1/60

∴ Ram can alone finish the work in 60 days.

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