Question

Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom start reading a novel at 4:3$$0 and Jan begins reading an identical copy of the same book at $5:30$ , at what time will they be reading the same page

• A. $9:30$
• B. span class="math-tex">$9:00$
• C. $8:40$
• D. $7:50$

Answer 1

Answer: (D)

$7:50$

Answer 2

The correct option is (D); Tom's speed = 30 pages/hr
Jan's speed = 40 pages/hr
From 4:30 to 5:20 = 50 minutes, Tom has already read 25 pages.
T minutes after 5:20, they will be reading the same page. Now, Tom is 25 pages ahead of Jan, and they are reading the same novel, thus effective speed = 40-30 = 10 pages/hr
Time taken to reach same as Tom = $\frac{25}{10}=2.5$ hours
$\therefore$ At 5:20+2:30 = 7:50 hours they will be reading the same page