Varun and Syan can do a work in 3 days, Syan and Anul can do it in 4 days, and Anul and Varun can do it in 6 days. How many days will Anul alone take to do the work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 24.
Per day work = total work/days required to complete the total work
Let the total work be LCM of (3,4,6) = 12 units
Varun and Syan per day work = 12/3 = 4 units
Syan and Anul per day work = 12/4 = 3 units
Anul and Varun per day work = 12/6 = 2 units
Summing up their per-day work
2 × (Varun, Syan and Anul) total work = (4 + 3 + 2) = 9 units
Their total work per day = 9/2 = 4.5 units
Anul per day work = (Total work by all) - (per day work of Syan and Varun)
Anul per day work = (4.5 - 4) = 0.5 units
Time required by Anul to complete the work = 12/0.5 = 24 days