a train travels 360 km at a uniform speed.if speed has been 5 km/h more ,it would have taken 1 hour less for same journey.find the speed of the train.
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a train travels 360 km at a uniform speed.if speed has been 5 km/h more ,it would have taken 1 hour less for same journey.find the speed of the train.
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Verified answer
Let the speed of train = x km/htime taken = 360/x hour
if speed has been 5 km/h more,
speed = x+5
time taken will be = 360/(x+5) hour
According to the question,
Solving we get x= 40 km/h
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) = x^2 + 5x
⇒1800 = x^2 + 5x
⇒x^2 + 5x - 1800 = 0
⇒x^2 + 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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