Question

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?
1. 34 hours
2. 16 hours
3. 27 hours
4. 28 hours

Answer 1

Correct Answer - Option 1 : 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.