Rakib and Kabila are working on an assignment. Rakib takes 6 hours to type 32 pages on a computer, while Kabila takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 220 pages?

Question: Rakib and Kabila are working on an assignment. Rakib takes 6 hours to type 32 pages on a computer, while Kabila takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 220 pages?

Solution:
Number of pages typed by Rakib in 1 hour = 32/6 = 16/3
Number of pages typed by Kabila in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3

Therefore Time taken by both to type 220 pages = 220 × (3/40) hours
= 33/4 hours
= 16.5 hours
= 16 hour 30 minutes