A train travels 360 km at a uniform speed.if the speed had been 5km/h more,it would have taken 1 hour less for the same journey. Find the speed of the train.
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Answer:
Let the original speed of the train be x km/h. Time taken to cover a distance of 360 km = 360/x hours.
New speed of the train = (x+5) km/h.
Time taken to cover a distance of 360 km at
new speed = 360/x+5 hours. Since, the train takes 1 hour less time,
.. 360/x - 360/x+5 = 1
⇒360 (x+5-x)/x(x+5) = 1
⇒360 (5) = x² + 5x ⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x= (-45), 40
But since speed cannot be in negative.
..x = 40 km/hr.
Hence, the original speed of the train is 40 km/
h.
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