Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?

A. 7 hour 15 minutes
B. 7 hour 30 minutes
C. 8 hour 15 minutes
D. 8 hour 30 minutes

Pages typed by Mansoor-Ul-Haque in 1 hour = 32/6 = 16/3
Pages typed by Aaqib in 1 hour = 40/5 = 8
Pages typed by Mansoor-Ul-Haque and Aaqib in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when Mansoor-Ul-Haque and Aaqib work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes

Correct Answer: C. 8 hour 15 minutes ✔

Last Updated: February 07, 2020