Ask Question
13 September, 17:08

I can read a 336-page book in 6 hours. Jayne can read a 144-page book in 3 hours. If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM, what time will it be when we are on the same page at the same time?

+5
Answers (1)
  1. 13 September, 17:36
    0
    12:00 am midnight

    Step-by-step explanation:

    Given;

    I can read a 336-page book in 6 hours.

    My rate r1 = 336/6 pages per hour = 56 pages per hour

    Jayne can read a 144-page book in 3 hours.

    Jayne rate r2 = 144/3 = 48 pages per hour

    If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM

    Taking 10 am as the reference time.

    Let x represent the time from 10 am at which they would both be on the same page.

    For me;

    Since i started by noon; 2 hours after 10 am

    Time t1 = x-2

    For Jayne;

    She started by 10 am

    Time t2 = x

    For them to be on the same page they must have read the same number of pages;

    Number of pages read = rate * time

    r1 (t1) = r2 (t2)

    Substituting the values;

    56 (x-2) = 48 (x)

    56x - 112 = 48x

    x (56-48) = 112

    x = 112 / (56-48)

    x = 14 hours

    Since 10 am is the reference, the time would be;

    =10 am + x = 10 am + 14 hours

    = 24:00

    = 12:00 am midnight
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “I can read a 336-page book in 6 hours. Jayne can read a 144-page book in 3 hours. If I start reading a 5000-page book at noon and Jayne ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers