Algebra

A bus covered the 400-km distance between points A and B at a certain speed. On the way back the bus traveled at the same speed for 2 hours and then increased the speed by 10 km/hour until it reached A, thus spending 20 fewer minutes on the return trip. How long did the return trip take?

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asked by Hansel
  1. from A to B at speed s took h hours.

    s*h = 400

    on the way back,

    s*2 + (s+10)(h-2 - 1/3) = 400
    h=5, so A to B took 5 hours.
    so, ...

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    posted by Steve

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