Akash can do a piece of work in 21 days and Diya can do the same work in 63 days. Find the time required to complete the same work if they work on alternate days and Akash starts the work.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e.31 days.
Akash can do a piece of work in 21 days and Diya can do the same work in 63 days
L.C.M(21 and 63) = 63
The efficiency of Akash = 63/21 = 3 units
The efficiency of Diya = 63/63 = 1 units
Starting from Akash
2 days = 4 units (multiplied by 15)
30 days = 60 units
Remaining work = 63 - 60 = 3 units
Now, Akash will work with efficiency of 3 units
Hence, work will be completed in 31 days