Multiple Choice Questions on The cost of fuel running the engine of an army tank is proportional to the square of the speed and R........... for SSC CGL Exam Preparation

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Multiple Choice Questions

The cost of fuel running the engine of an army tank is proportional to the square of the speed and R...........

Quantitative Aptitude (CGL) Time & distance
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    The cost of fuel running the engine of an army tank is proportional to the square of the speed and Rs. 64 per hour for a speed of 16 kmph. Other costs amount to Rs. 400 per hour. The tank has to make a journey of 400 km at a constant speed. - The most economical speed for this journey is :

    20 kmph

    Incorrect Answer

    30 kmph

    Incorrect Answer

    35 kmph

    Incorrect Answer

    40 kmph

    Correct Answer
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    Explanation:

    C = k x2
    When x = 16 kmph
    C = Rs. 64
    ∴64 = k × 162 = k = 1/4
    ∴ C = 1/4 x2
    Total expenditure per hour
    = 1/4 x2 = 400
    When speed = 40 kmph, the expenditure will be minimum.

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