Mahesh and Suresh can complete a work in 16 days and 12 days, respectively. Starting with Mahesh, they work on an alternate basis. How many days will it take to finalise the complete work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. .
Total work = LCM of 16 and 12 = 48
Efficiency of Mahesh = 48/16 = 3
Efficiency of Suresh = 48/12 = 4
Starting with Mahesh, work done in 2 days = 3 + 4 = 7
Work done in 12 days = 7 × 6 = 42
Work done by Mahesh on the 13th day = 3
Remaining work = 48 - 42 - 3 = 3
Total time required = 13 + (3/4) = days