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

Updated On: Oct 4, 2024
  • \(9:30\)
  • span class="math-tex">\(9:00\)
  • \(8:40\)
  • \(7:50\)
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The Correct Option is D

Solution and Explanation

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
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