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A train covers a distance of …

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A train covers a distance of 480km at a uniform speed if speed had been 8km/hr less than it would have taken 3 hours more to cover the same distance. Find the original speed of the train

Posted by M.Keshvi Priya 1 year, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Abhinav Jain 1 year, 5 months ago

40 km/hr

Rohit Sharma 1 year, 5 months ago

Let the speed of the train be x km/hr. Then Time taken to travel a distance of 480km=x480hr Time taken by the train to travel a distance of 480km with the speed (x−8)km/hr=x−8480hr It is given that if the speed had been 8km/hr less, then the train would have taken 3 hours more to cover the same distance ∴x−8480=x480+3 ⇒x−8480−x480=3⇒x(x−8)480(x−x+8)=3⇒x(x−8)480×8=3 ⇒3x(x−8)=480×8⇒x(x−8)=160×8⇒x2−8x−1280=0

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