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