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20 June, 16:43

How long will each person take to run a total of 50 miles at the given rates?

Terrance trains at a rate of 6 miles and every half hour

Jesse trains at a rate of 2 miles every 15 minutes

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  1. 20 June, 18:54
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    Problema Solution

    Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.

    How long will each person take to run a total of 50 miles at the given rates?

    Answer provided by our tutors

    d = 50 mi the distance

    t1 = the time of Terrance

    t2 = the time of Jesse

    Terrance trains at a rate of 6 miles every half hour thus his rate is:

    v1 = 6/0.5 = 12 mph

    Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:

    v2 = 2 / (15/60) = 8 mph

    since speed = distance/time follows time = distance/speed:

    t1 = d/v1

    t1 = 50/12

    t1 = 4 1/6 hr

    t1 = 4 hr 10 min

    t2 = d/v2

    t2 = 50/8

    t2 = 6 1/4 hr

    t2 = 6 hr 15 min

    Terrance will run 4 hours and 10 minutes.

    Jesse will run 6 hours and 15 minutes.
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