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.
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) `
`(x - 8)(480/x + 3) = 480`
`⇒ 480 + 3x - 3840/x - 24 = 480`
⇒ 3x - 3840/x = 24
⇒ 3x2 - 24x - 3840 = 0
⇒ x2 - 8x - 1280 = 0