A and B can complete a task in 30 days, whereas B and C can complete the task in 24 days and C and A in 20. When B and C leave, they all work together for ten days. How many more days will A need to complete the project?
A. 18 days
B. 24 days
C. 30 days
D. 36 days
Answer:A
A and B can complete a task in 30 days, whereas B and C can complete the task in 24 days and C and A in 20. When B and C leave, they all work together for ten days. How many more days will A need to complete the project?
A. 18 days B. 24 days C. 30 days D. 36 days
Explanation: 1 day's labour for 2(A + B + C) = ( 1/30 + 1/24 + 1/20 ) = 15/120 = 1/8.As a result, 1 day's work for (A + B + C) = 1/2 x 8 = 1/16.Work completed by A, B, and C in ten days = 10/16 = 5/8.Work remaining = ( 1 - 5/8 ) = 3/8.1 day's work for A = ( 1/16 - 1/24 ) = 1/48.A now completes 1/48 work in one day.As a result, A will do 3/8 of the task in ( 48 x 3/8 ) = 18 days.