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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 3 hours more to cover the same distance. We need to find the speed of the train. - Mathematics

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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 3 hours more to cover the same distance. We need to find the speed of the train.

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Solution

Let the speed of train be x km/h.
 
Time taken to travel 480 km = 480/km/h

In second condition, let the speed of train = (x - 8) km/h

It is also given that the train will take 3 hours to cover the same distance.

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

Speed × Time = Distance

`(x - 8)(480/x + 3) = 480`

`⇒ 480 + 3x - 3840/x - 24 = 480`

⇒ 3x - 3840/x = 24

⇒ 3x- 24x - 3840 = 0

⇒ x2 - 8x - 1280 = 0

Concept: Quadratic Equations
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.1 | Q 2.4 | Page 74
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