Q) Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

a) 7 hours 30 minutes        b) 8 hours

c) 8 hours 15 minutes       d) 8 hours 25 minutes

Ans:

Pages typed by Ravi in 6 hours = 32 pages

∴ Pages typed by Ravi in 1 hour = 32/6 = 16/3 pages

Pages typed by Kumar in 5 hours = 40 pages

∴ Pages typed by Kumar in 1 hour = 40/5 = 8 pages

∴ Pages typed by Ravi & Kumar in 1 hour = 16/3 + 8 = 40/3 pages

Since 40/3 pages typed by Ravi & Kumar in = 1 hour

∴ 1 pages typed by Ravi & Kumar in = 1 / (40/3) = 3/40 hour

∴ 110 pages typed by Ravi & Kumar in = 110 x 3/40 = 33/4 hour = 8 1/4 hr = 8 hrs 15 mins

Hence, Answer is [C].

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