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27 April, 01:24

A person takes a trip, driving with a constant speed of 89.5 km/h, except for a 22.0-min rest stop. If the person's average speed is 77.8 km/h, (a) how much time is spent on the trip and (b) how far does the person travel?

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  1. 27 April, 01:50
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    (a) : It spends on the trip 2.75 hr (2 hours 45 minutes)

    (b) : The person travels 213.9 km.

    Explanation:

    Vp = 77.8 km/h

    V1 = 89.5 km/h

    V2 = 0 km/h

    t2 = 0.36hr

    t1=?

    Vp = (V1*t1 + V2*t2) / (t1 + t2)

    clearing t1:

    t1 = 2.39 hr

    Trip time = t1+t2

    Trip time = 2.75 hr (a)

    Distance traveled = V1*t1

    Distace traveled = 213.9 km (b)
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