Question

Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been how many?

• A. 138 days
• B. 101 days
• C. 143 days
• D. 166 days
• E. 139 days

Hint:

When dealing with cyclic patterns, find the Least Common Multiple (LCM) of the cycles to define a repeat period. Calculate work per period and then find the number of full periods and the leftover work.

Answer 1

Answer: (E)