Postage
age.
iv. A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km
less, then it would have taken 3 hours more to cover the same distance. We need
find the speed of the train
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Postage
age.
iv. A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km
less, then it would have taken 3 hours more to cover the same distance. We need
find the speed of the train
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Answer
Distance travelled by the train = 480 km
Let the speed of the train be x kmph
Time taken for the journey = 480/x
Given speed is decreased by 8 kmph
Hence the new speed of train = (x – 8) kmph
Time taken for the journey = 480/(x – 8)
480/(x – 8) – 480/x = 3
480(x – x + 8)/x (x-8) = 3
480/3 * 8 = x2 -8x
1280 = x2 – 8x
x2 – 8x – 1280 = 0
On solving we get x = 40
Thus the speed of train is 40 kmph