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27 July, 11:25

Jim began a 153-mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at 42 miles per hour, find the amount of time he spent on the bicycle.

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  1. 27 July, 11:42
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    consider the motion when Jim travels by bicycle

    D = total distance to be traveled for the trip = 153 mile

    v = speed of riding = 42 mph

    t = time taken to complete the trip by bicycle = ?

    using the equation

    t = D / v

    inserting the values

    t = 153/42

    t = 3.64 h

    while walking and riding:

    T = total time taken to complete the trip by walking and riding = 5 hours

    t ' = time of walking = T - t = 5 - 3.64 = 1.36 hours

    v' = speed of walking = 4 mph

    d' = distance traveled by walking = ?

    distance traveled by walking is given as

    d' = v' t'

    d' = 4 x 1.36

    d' = 5.44 miles

    d = distance traveled by bicycle = D - d' = 153 - 5.44 = 147.56 miles

    v = speed of riding = 42 mph

    t = time spent on the bicycle = ?

    time spent on the bicycle is given as

    t = d/v

    t = 147.56/42

    t = 3.51 hours
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