    Question

# A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. The speed of the train is ___ kmph.

A

40

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B

45

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C

35

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D

48

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Solution

## The correct option is A 40 Distance travelled by 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 = (x–8) kmph Time taken for the journey = 480x−8 ⇒ 480x−8−480x=3 ⇒ 480(x−x+8)x(x−8)=3 ⇒ 4803×8=x2–8x ⇒ 1280=x2–8x ⇒x2−8x−1280=0 ⇒x2−40x+32x−1280=0 ⇒x(x−40)+32(x−40)=0 ⇒(x+32)(x−40)=0 Either x+32=0 or x−40=0 As, speed cannot be a negative value, We get, x=40 Thus, the speed of the train is 40 kmph.  Suggest Corrections  7      Similar questions
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