Question:medium
P and Q are working on an assignment. P takes 3 hours to type 20 pages on a computer. While Q takes 4 hours to type 25 pages. How much time will they together take to type an assignment of 620 pages working on two different computers?
P and Q are working on an assignment. P takes 3 hours to type 20 pages on a computer. While Q takes 4 hours to type 25 pages. How much time will they together take to type an assignment of 620 pages working on two different computers?
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In work problems with typing or production, always convert data into rate per hour (or per unit time). Then add rates for combined work and divide total task by combined rate.
Updated On: Jul 16, 2026
- 64 hrs
- 48 hrs
- 40 hrs
- 60 hrs
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: In a common span of 12 hours (a multiple of both 3 and 4), P types \(12\times\dfrac{20}{3}=80\) pages and Q types \(12\times\dfrac{25}{4}=75\) pages, so together they type \(80+75=155\) pages every 12 hours.
Step 2: To find the time for 620 pages, note \(620\div155=4\), meaning 620 pages is exactly 4 times the 155-page block.
Step 3: So the time required is \(4\times12=48\) hours. \[ \boxed{48\ \text{hours}} \]
Step 2: To find the time for 620 pages, note \(620\div155=4\), meaning 620 pages is exactly 4 times the 155-page block.
Step 3: So the time required is \(4\times12=48\) hours. \[ \boxed{48\ \text{hours}} \]
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