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How long does it take to drive 400 km - Google Finance

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How long it takes to drive any distance depends on your average speed. Whatever is your average speed, divide that into the distance you have to travel. For instance, if your speed is 100 kilometers per hour and you need to go 400 kilometers, it will take you (400 km/100 kmph=) four hours. Always be sure to use the same units of measurement, English or metric, in your arithmetic.

Posted on Jul 27, 2014

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When there is decrease of 5 km/hr in the usual uniform speed of train, it takes 4 hrs. more than the usual time for covering the distance of 400 km. Find the usual speed of the train.


Let X be the time taken when train is moving in its normal speed.

Y be the normal speed of the train.

Speed = distance/time

that is X = 400 / Y

or Y = 400 / X --------- (1)

When speed is decreased by 5 km/hr time increases by 4 hour

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= X + 4 = 400 X / 400 - 5X ( substitute Y = 400 /X we get this equation)


on solving we get 5X^2 + 20x - 1600 = 0

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-20 is neglected (time cannot be negative)

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