Multiple Choice Questions on A train covered a certain distance at a uniform speed If the train had been 6 km h faster then it wo........... for Combined State Civil Services Preparation

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Multiple Choice Questions

A train covered a certain distance at a uniform speed If the train had been 6 km h faster then it wo...........

Quantitative Aptitude (CSC) Problems on trains
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    A train covered a certain distance at a uniform speed. If the train had been 6 km/h faster, then it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6 km/h, then the train would have taken 6 hours more than the scheduled time. The length of the journey is

    700 km

    Incorrect Answer

    740 km

    Incorrect Answer

    720 km

    Correct Answer

    760 km

    Incorrect Answer
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    Explanation:

    Let the length of the journey be d km and the speed of train be SS km/hr.

    Then,

    dS+6=t−4dS+6=t−4-----(i)

    dS−6=t+6dS−6=t+6------(ii)

    Subtracting the 1 equation from another we get:

    dS−6−dS+6=10dS−6−dS+6=10------(iii)

    Now t=dst=ds

    Substitute in equation (i) and solve for dd and SS

    We get S=30S=30 and  dd = 720 km

    Hence, option 3 is the correct answer.

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