Question

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

• A. 36
• B. 48
• C. 45
• D. 32

Answer 1

Answer:

B. 48

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