Aarav and Durga together can do a piece of work in 33 days. They worked together for 15 days and then Aarav left the work and Durga alone finished the remaining work in 30 days. Find the number of days in which Aarav alone can do the total work.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 165/2 days.
Efficiency of Aarav = A
Efficiency of Durga = D
(A + D) × 15 + 30D = (A + D) × 33
15A + 15D + 30D = 33A +33D
A/D = 2/3
The number of days in which Aarav alone can do the total work = = 165/2 days