Michael jogs at 3 miles per hour and Jack runs at 4.5 miles per hour. If Michael starts at 2:00 pm and Jack starts on the same course at 2:2

Question

Michael jogs at 3 miles per hour and Jack runs at 4.5 miles per hour. If Michael starts at 2:00 pm and Jack starts on the same course at 2:20 pm, at what time and mileage will Jack catch up to Michael?

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Khải Quang 7 months 2021-07-19T09:03:44+00:00 1 Answers 3 views 0

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    2021-07-19T09:05:40+00:00

    Answer:

    It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

    Step-by-step explanation:

    Micheal  runs 3 miles in one hour or 60 minutes.

    In one minute he runs 3/60= 1/20  or 0.05miles.

    Jack runs 4.5 miles in one hour or 60 minutes.

    In one minute he runs 4.5/60= 45/600= 9/120= 3/40  or 0.075 miles.

    So Jack is 0.075/0.05 = 1.5 times faster than Micheal.

    or Micheal is 1.5 times slower than Jack.

    Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles

    Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles

    So at 3 pm both will have covered equal distance= 3miles.

    It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

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