A train travels 260 km at a uniform speed if the speed had take had been 5 kilometre per hour more it would have taken 1 hour less for a same journey find find the speed of the train
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Step-by-step explanation:
Speed = Distance / Time
Let the original speed of the train be x km/h.
Time taken to cover a distance of 260 km = 260/x hours.
New speed of the train = (x+5) km/h.
Time taken to cover a distance of 260 km at new speed = 260/x+5 hours.
Since, the train takes 1 hour less time,
∴ 260/x - 260/ x+5 = 1
⇒260 (x+5-x)/x(x+5) = 1
⇒260 (5) = x² + 5x
solve quadratic
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