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Math Help - Speed problem. Please help with steps.

  1. #1
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    Speed problem. Please help with steps.

    A locomotive engine without a train can go 24 km an hour and its speed is diminished by a quantity, which varies as the square root of the number of wagons attached. With 4 wagons its speed is 20 km per hour. FInd the greatest number of wagons with which the engine can move.
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    Senior Member MaxJasper's Avatar
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    Re: Speed problem. Please help with steps.

    n<144
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    Re: Speed problem. Please help with steps.

    f(0)= 24 and f(4)= 20. Its speed has been "diminished" by 4 and that is k\sqrt{4}= 2k= 4 so that k= 2. 24- k\sqrt{n}= 24- 2\sqrt{n}= 0 gives \sqrt{n}= 12 which gives MaxJasper's answer.
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    Re: Speed problem. Please help with steps.

    Thank you both Halls ofIvy and MaxJasper!
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