The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how m

Question

The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how many hours will it take Mrs. Brown to catch up to Mr. Brown?

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Thiên Ân 1 year 2021-09-04T05:02:47+00:00 1 Answers 15 views 0

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    2021-09-04T05:04:01+00:00

    Answer:

    the time taken by Mrs Brown to catch up is 18.75 hours

    Step-by-step explanation:

    Given;

    average speed of Mr Brown = 75 mph

    average speed of Mrs Brown, = 85 mph

    time first traveled by Mr Brown = 2.5 hours

    The distance traveled by Mr Brown before Mrs Brown start her own Journey;

    D = speed  x time

    D = 75 mph x 2.5 h

    D = 187.5 miles

    Let the time taken by Mrs Brown to catch up = t

    (85 – 75)t = 187.5

    10t = 187.5

    t = 18.75 hours

    Check:

    after 18.75 hours:  Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles

    after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles

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