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Question

A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the speed of the train.


A

60 kmph

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B

50 kmph

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C

40 kmph

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D

10 kmph

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Solution

The correct option is C

40 kmph


Distance travelled by the train = 480 km
Let the speed of the train be x kmph
Time taken for the journey = 480x
Given speed is decreased by 8 kmph
Hence the new speed of train = (x8) kmph
Time taken for the journey = 480x8
480x8480x=3
480(xx+8)x(x8)=3
4803×8=x28x

1280=x28x
x28x1280=0
x240x+32x1280=0
x(x40)+32(x40)=0
(x+32)(x40)=0
Either x+32=0orx40=0
As, speed cannot be in negative values,
hence , we get x=40
Thus the speed of the train is 40 kmph.


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