Pratima and Diksha can complete typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 9.
Given:
Pratima and Diksha can complete typing work separately in 10 hours and 15 hours
Calculations:
Total work (L.C.M of 10 and 15) = 30 units
The efficiency of Pratima = 30/10 = 3
The efficiency of Diksha = 30/15 = 2
Work done by Pratima = 4 × 3 = 12 units
Remaining work = 30 - 12 = 18 units
Time taken by Diksha = 18/2 = 9 hours