Math, asked by Guddu627, 10 months ago

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

Answers

Answered by ITZINNOVATIVEGIRL588

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Let us consider,

The speed of train = x km/h

And

Time taken to travel 480 km = 480/x km/hr

As per second condition, the speed of train = (x – 8) km/h

Also given, the train will take 3 hours to cover the same distance.

Therefore, time taken to travel 480 km = 480/(x+3) km/h

As we know,

Speed × Time = Distance

Therefore,

(x – 8)(480/(x + 3) = 480

⇒ 480 + 3x – 3840/x – 24 = 480

⇒ 3x – 3840/x = 24

⇒ 3x2 – 8x – 1280 = 0

Therefore, the speed of the train, satisfies the quadratic equation,

3x^2 – 8x – 1280 = 0,

which is the required representation of the problem mathematically.

Answered by BRAINLYADDICTOR

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