A can do a piece of work in 51 days and B can do the same work in 34 days. Find the time required to complete the same work if they work on alternate days and A starts the work.
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e.41 days.
A can do a piece of work in 51 days and B can do the same work in 34 days
L.C.M(51 and 34) = 204
The efficiency of A = 204/51 = 4 units
The efficiency of B = 204/34 = 6 units
Starting from A
2 days = 10 units (multiplied by 20)
40 days = 200 units
Remaining work = 204 - 200 = 4 units
Now, A will work with the efficiency of 4 units
Hence, work will be completed in 41 days