a train travels a distance of 480 km at a constant speed if the speed of the train is increased by 5 km per hour the journey would take two hours less find the speed of the train
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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
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