[Q] A and B are working on an assignment. A takes 6 hours to type
32 pages on a computer, while B takes 5 hours to type 40 pages. How
much time will A and B take, working together on two different computers to
type an assignment of 110 pages?
(a) 10 hour 15 minutes
(b) 7 hour 15 minutes
(c) 8 hour 15 minutes
(d) 9 hour 15 minutes
(a) 10 hour 15 minutes
(b) 7 hour 15 minutes
(c) 8 hour 15 minutes
(d) 9 hour 15 minutes
Solution
Answer
(c)
Explanation
----
Pages typed by A in 1 hour = 32/6 = 16/3
Pages typed by B in 1 hour = 40/5 = 8
Pages typed by A and B in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when A and B work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes
Explanation
----
Pages typed by A in 1 hour = 32/6 = 16/3
Pages typed by B in 1 hour = 40/5 = 8
Pages typed by A and B in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when A and B work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes
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