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4 September, 04:52

You drive to the city at an average speed of 40 km/h and return at an average speed of 60 km/h. Find your average speed for the entire trip? Explain why the answer is not 50 km/h.

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  1. 4 September, 07:43
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    Well, let's see:

    If you live 'D' kilometers from the city, and you go and return by the same route, then

    - - The time it takes you to reach the city, at 40 km/h, is D/40 hours.

    - - The time it takes you to return, at 60 km/h, is D/60.

    - - The total distance you cover is 2D, and the total driving time is

    (D/40) + (D/60)

    = (3D/120) + (2D/120)

    = 5D/120 = D/24

    - - Your average speed for the entire trip is

    (distance covered) / (time to cover the distance)

    = (2D) / (D/24)

    = 48 km/hr.
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