A bus covers a journey of at a constant speed of

MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 2 · Quadratic Equations - Part 2

Problem

A bus covers a journey of

200\text{ km}

at a constant speed of

x\text{ km h}^{-1}

. Had the speed been increased by

10\text{ km h}^{-1}

, the same journey would have taken

1

hour less. (i) Construct a quadratic equation in

x

representing the above information. (ii) Solve the equation and find the original speed of the bus.