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11 October, 11:49

Seth starts reading at 4:30 pm and reads 30 pages an hour. Jamaal starts reading at 5:20 pm and reads 40 pages an hour. At what time will they be reading the same page if they both began on page 1?

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  1. 11 October, 12:11
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    7:50

    Step-by-step explanation:

    The difference between the starting times is, 5:20 - 4:30, 50 minutes.

    Since Seth reads 30 pages an hour, he also reads 1 page every 2 minutes or 3 pages every 6 minutes. Also, since Jamaal reads 40 pages an hour, he also reads 4 pages every 6 minutes. We now know that every 6 minutes, Jamaal reads 1 more page than Seth.

    Seth started at 4:30, meaning by the time Jamaal starts reading, Seth has already read 25 pages.

    To catch up Jamaal needs to read for 25 * 6 minutes, 150 minutes.

    If we add 2 and a half hours to 5:20, we get 7:50.
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