Rani and Adya, working separately, can finish a task in 12 days and 16 days, respectively. They work in stretches of one day alternately. If Rani starts working first, then the task will be completed in
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Correct answer: C
Explanation
The correct answer is option 3 i.e. days.
Rani and Adya, working separately, can finish a task in 12 days and 16 days
Time required for Rani to finish the task = 12 days
Time required for Adya to finish the task = 16 days
Total work = 48 (LCM of 12 and 16)
Efficiency of Rani = 48/12 = 4
Efficiency of Adya = 48/16 = 3
In two days, Rani and Adya complete = 4 + 3 = 7 work
Work done by Rani and Adya in 12 days = 7 × 6 = 42
Rani complete 4 works on the 13th day.
Remaining work = 48 - 42 - 4 = 2
Time required for Adya to complete 2 work = 2/3 days
Total time = 13 + (2/3) = days
Therefore, the task will be completed in days.