Akash and Vikash can complete a work in 40 days and 60 days, respectively. In how many days will the entire work be completed if they work on alternate days, starting with Akash?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 48.
Given that, time taken by Akash to complete the work = 40 days
Time taken by Vikash to complete the work = 60 days
Total work = Efficiency × Time taken
Let the total work to be done LCM(40, 60) be 120 units.
Efficiency of Akash = = 3 units/day
Efficiency of Vikash = = 2 units/day
According to the given question, they work on alternate days,
Work completed by Akash + Vikash in 2 days (3 + 2) = 5 units
Work completed by them in (2 × 24) 48 days = (5 × 24) 120 units
Hence the time taken for the entire work be completed if they work on alternate days, starting with Akash is 48 days.