One day, Anya runs \(12\text{ km}\) at a speed of \(x\text{ km/h}\).
The next day she walks \(10\text{ km}\) at a speed of \((x-4)\text{ km/h}\).
Write down an expression, in terms of \(x\), for the time she spends running.[1]
Write down an expression, in terms of \(x\), for the time she spends walking.[1]
The time Anya spends walking is \(1\) hour more than the time she spends running.
Write an equation in terms of \(x\) and show that it simplifies to \(x^2-2x-48=0\).[4]
Use factorisation to solve the equation \(x^2-2x-48=0\).[3]
Find the time Anya spends running.[1]