If Akash can do a piece of work in 63 days and Disha can do the same work in 84 days. They worked together for 12 days and after this Disha left the work and Akash completed the remaining work, then find the total number of days required to finish the work.
Show answer & explanation
Correct answer: C
Explanation
The Correct answer is Option 3 i.e. 54 days.
Akash can do a piece of work in 63 days and Disha can do the same work in 84 days
L.C.M(63, and 84) = 252
The efficiency of Akash = 252/63 = 4 units
The efficiency of Disha = 252/84 = 3 units
The total number of days be n
Total work done by both in 12 days = 12 × 7 = 84 units
Remaining work = 252 - 84 = 168 units
Time taken by Akash = 168/4 = 42
Total number of days = 42 + 12 = 54 days