A can do a task in 24 hours, B in 9 hours, and C in 12 hours. B and C begin employment, but must depart after three days. A completed the remaining tasks in:
A. Five days
B. six days
C. ten days
D. 10 1/2 days
Answer:C
A can do a task in 24 hours, B in 9 hours, and C in 12 hours. B and C begin employment, but must depart after three days. A completed the remaining tasks in:
A. Five days B. six days C. ten days D. 10 1/2 days
Explanation: 1 day's labour for (B + C) = 1/9 + 1/12 = 7/36.Work completed by B and C in three days = 7 x 3 /36 = 7/12.Work remaining = 1 - 7/12 = 5/12A now completes 1/24 work in one day.As a result, A completes 5/12 of the job in 24 x 5/12 = 10 days.