# 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

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.

#### 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

Is there an error in this question or solution?

#### APPEARS IN

NCERT Class 10 Maths