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A train covers a distance in minutes if it runs at a speed of kmph on an average. The speed at which the train must run to reduce the time of journey to minutes will be:

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kmph

answer is A.

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Detailed Solution

Concept- Speed of the train is equal to the distance covered by the train per unit time.
Given that,
A train covers a distance in

minutes if runs at a speed of

kmph
Case 1:
Let, the distance of the train be

Total time train takes to cover

distance

(Here,

)
Speed of the train

kmph
Using distance formula,

Case 2:
Distance covered by the train,

Time taken by the train to cover

Now,

Speed

kmph
Hence, the correct answer is option 1.

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