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5 September, 18:13

You are driving home from school steadily at 95.0 km/h for 130 km. It then begins to rain and you slow to 65.0 km/h. You arrive home after driving 3.33 hours. (a) How far is your hometown from school? (b) What was your average speed?

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  1. 5 September, 21:13
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    Very simple, Its all about calculating distance using the formula:

    D = V x T

    where,

    V is the speed or velocity

    D is distance

    T is the time

    In the given problem, there are two parts.

    Lets do the calculations for both parts separately:

    Part 1) Before the rain

    Time = 130/95

    = 1.37 hours

    Time taken after the rain = Total time - time taken before the rain

    = 3.34 hours - 1.37 hours

    = 1.97 hours

    Distance covered after the rain = 1.97 hours x 65 km/h

    = 128 km

    Hence,

    a) The total distance covered = 130 + 128

    = 258 km

    b) Average speed = Total distance/Total time

    = 260/3.34

    = 78 km/h
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