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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 they take, working together simultaneously, on two different computers to type an assignment of 110 pages?

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 they take, working together simultaneously, on two different computers to type an assignment of 110 pages? Correct Answer 34 hours

Given:

A takes 6 hours to type 32 pages on a computer.

B takes 5 hours to type 40 pages.

Calculations: 

Typing speed of A = 32/6 = (16/3) pages/hour

Typing speed of B = 40/5 = 8 pages/hour

So, the number of hours needed for typing 1 page by them

= (3/16) + (1/8) = 5/16

Hence, the time taken to type 110 pages by them working together simultaneously is obtained as:

⇒ (5/16) × 110 = 34.375 hours ≈ 34 hours

∴ They will take 34 hours, when working together simultaneously.

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