A train travells 360km with uniform speed the speed of the train us increase by 5km/hr it take 48 miute less to cover the same distance find the initial speed of the train.
Answers
Answer:
hi
Step-by-step explanation:
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 (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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Let the speed of train=x km/h
Time taken by the train to travel 360km= 360/x h{time=distance/speed}
If speed is increased by 5km/hr
then, speed of train=x+5 km/hr
Time =360/x-12/15
we know that distance=speed*time
360/=x+5*360/x-12/15