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8 August, 23:16

Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? Put both values in the answerbox, separated with a comma, and select the appropriate units.

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  1. 8 August, 23:31
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    Speed of a = 21 miles/hr

    r = Speed of b = 7 miles/hr

    Speed of a = 3r

    Step-by-step explanation:

    The cyclist are 112 miles apart

    Time traveled by two = 4 hours

    Speed of a = 3 * speed of b

    If a cylcles 3 times More than b, then a will cover 3*distance of b

    But speed = distance/time

    Time = 4hours

    Total distance=112

    a = 3b

    3b + b = 112

    4b = 112

    b = 112/4

    b = 28 miles

    a = 3b

    a = 3*28

    a = 84 Miles

    They bought traveled 4 hours

    Speed of a = 84miles/4 hours

    Speed of a = 21 miles/hr

    Speed of b = 28miles/4 hours

    Speed of b = 7 miles/hr
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