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Tom asked in Science & MathematicsPhysics · 9 years ago

A motorist travels 80 km at 100 km/h, and 50 km at 75 km/h. What is the average speed for the trip?

I know that Average Speed = Total Distance / Time but I do not understand how to get the time out of the kph and the total distance.

2 Answers

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  • 9 years ago
    Favorite Answer

    By time(t) = distance(s)/speed(v)

    =>t1 = 80/100 = 0.8 hour & t2 = 50/75 = 0.67 hr

    =>By v(avg) = (s1+s2)/(t1+t2) = (80+50)/(0.8+0.67) = 88.64 km/hr

  • 9 years ago

    D1 = distance traveled with 100Km/h = 80Km

    D2 = distance traveled with 75Km/h = 50Km

    t1 = time spent for 80Km trip

    t2 = time spent for 50Km trip

    And, by the formula, Speed = Distance/Time

    S1 = D1/t1 => t1 = D1/S1

    S2 = D2/t2 => t2 = D2/S2

    Total average speed = Total Distance/Total time = {(D1+D2)s1*s2}/(D1*S2+D2*S1)

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