Shivam can do a piece of work in 6 days, and Vivek in 24 days. They started work together, but Shivam left the work 3 days before its completion. In how many days was the work completed?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. .
LCM (6, 24) = 24
The efficiency of Shivam = 24/6 = 4 units
The efficiency of Vivek = 24/24 = 1 units
3 days before completion, Shivam left, so in those 3 days, only Vikek worked
Work done by Vivek in 3 days = 1 × 3 = 3 units
Remaining work = 24 - 3 = 21 units
Rest for 3 days, both workers, so the time taken to complete 21 units
Time = 21/(4 + 1) = 21/5 = days
Total time = 3 + = days