A book has 250 pages. Person A reads 6 pages in an hour. Person B reads 8 pages in an hour. There are two chapters of 72 pages that are difficult for person B to read in the book, so person B takes double the time to read those pages. Who among them will finish the book first and how much sooner than the other?
A book has 250 pages. Person A reads 6 pages in an hour. Person B reads 8 pages in an hour. There are two chapters of 72 pages that are difficult for person B to read in the book, so person B takes double the time to read those pages. Who among them will finish the book first and how much sooner than the other? Correct Answer Person B, 1 h 25 min
Given:
A book has 250 pages.
Person A reads 6 pages in an hour.
Person B reads 8 pages in an hour.
There are two chapters of 72 pages that are difficult for person B to read in the book, so person B takes double the time to read those pages.
Calculation:
Time taken by A to finish the book = 250/6 = 41 hrs 40 mins
Time taken by B to finish the book = (250 - 72) pages at 8 pages per hour and 72 pages at 4 pages per hour (∵ double the time ⇒ half the speed)
= 178/8 + 72/4
= 89/4 + 72/4
= 161/4
= 40 hrs 15 mins
∴ Comparing time taken by A and B, we conclude that B finishes the book first and (41 hrs 40 mins - 40 hrs 15 mins ) = 1 hr 25 min sooner.