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Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days, the number of days Sohan alone takes, to finish the work is

A36

B48

C45

D32

Answer:

B. 48

Read Explanation:

Ganesh, Ram and Sohan together can complete a work in 16 days

Ganesh and Ram together can complete the same work in 24 days,

Total work = LCM(16, 24) = 48

efficiency of Ganesh, Ram and Sohan = 48/16 = 3

Efficiency of Ganesh and Ram = 48/24 =2

Efficiency of Sohan = 3 - 2 = 1

The number of days Sohan alone takes, to finish the work = total work/ efficiency of sohan = 48/1 = 48 days


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