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24 May, 22:14

A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?

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  1. 24 May, 22:40
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    120/x - 120 / (x+10) = 1

    120x + 1200 - 120x = x (x+10)

    1200 = x^2+10x

    x^2 + 10x - 1200 = 0

    (x+40) (x-30) = 0

    Positive solution:

    x = 30 km/hr (rate on the 1st trip)

    x+10 = 40 km/hr (rate on the return trip)
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