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Represent the following situations in the form of quadratic equations: A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken
Represent the following situations in the form of quadratic equations:  A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken

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3 months ago Anand Kumar Pandey
2937 Points
```							Dear studentLet us consider,The speed of train = x km/hAnd Time taken to travel 480 km = 480/x km/hrAs per second condition, the speed of train = (x - 8) km/hAlso given, the train will take 3 hours to cover the same distance.Therefore, time taken to travel 480 km = 480/(x+3) km/hAs we know, Speed × Time = DistanceTherefore,(x - 8)(480/(x + 3) = 480⇒ 480 + 3x – 3840/x - 24 = 480⇒ 3x – 3840/x = 24⇒ 3x 2 - 8x - 1280 = 0Therefore, the speed of the train,satisfies the quadratic equation,3x 2 - 8x - 1280 = 0,which is the representation of the problem mathematicallyThanks
```
3 months ago
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