A train covers a distance of 480km at a uniform speed. If the speed had been 8km/h less, then it would have taken 3 hours more to cover the same distance. Find the usual speed of the train. This question is from Quadratic equation. Plzz solve it i will mark brainlist
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hey friend!!!!
Distance travelled by the train = 480 km
Let the speed of the train be x kmph
Time taken for the journey = 480/x
Given speed is decreased by 8 kmph
Hence the new speed of train = (x – 8) kmph
Time taken for the journey = 480/(x – 8)
=> 480/(x-8) - 480/x = 3
=> 1280 = x²– 8x
=> x² - 8x – 1280 = 0
On solving we get
x = 40_______answer
Thus the speed of train is 40 kmph
I think my answer is capable to clear your confusion
Distance travelled by the train = 480 km
Let the speed of the train be x kmph
Time taken for the journey = 480/x
Given speed is decreased by 8 kmph
Hence the new speed of train = (x – 8) kmph
Time taken for the journey = 480/(x – 8)
=> 480/(x-8) - 480/x = 3
=> 1280 = x²– 8x
=> x² - 8x – 1280 = 0
On solving we get
x = 40_______answer
Thus the speed of train is 40 kmph
I think my answer is capable to clear your confusion
Attachments:
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