A train covers a distance of 360 km at a uniform speed. Had the speed

1.	A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train.
Answer» Let the original speed of the train be x km/h ∴ (360/x - 360/x + 5) = 48/60 ⇒ x² + 5x - 2250 = 0 ⇒ (x +50) (x -45) = 0 ∴ x = 45 Hence original speed of the train = 45km/h

A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train.

Answer»

Let the original speed of the train be x km/h

∴ (360/x - 360/x + 5) = 48/60

⇒ x² + 5x - 2250 = 0

⇒ (x +50) (x -45) = 0

∴ x = 45

Hence original speed of the train = 45km/h

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A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train.

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