A, B, and C can do a piece of work in 8, 4, and 16 days respectively. How many days will A take to complete the entire work if A is assisted by B and C both on every second day?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 26/7 days.
A, B, and C can do a piece of work in 8, 4, and 16 days respectively
L.C.M(8, 4, and 16) = 16
The efficiency of A = 16/8 = 2 units
The efficiency of B = 16/4 = 4 units
The efficiency of C = 16/16 = 1 units
Only A will work on the first day = 2 units
A will be assisted by B and C both on the second day = 2 + 4 + 1 = 7 units
Work done in 2 days = 9 units
Work done by A on the third day = 2 units
Work done in 3 days = 11 units
Remaining work = 16 - 11 = 5 units
Time taken by A = = 26/7 days