At the start of the trip, Alan covered $x$ km and his car consumed $6$ litres of fuel. Its fuel consumption rate was $\frac{600}{x}$ litres per $100$ km.
(a(i))[1]
Write down an expression, in terms of $x$, for the fuel consumption rate on this section of the journey. Give your answer in litres per $100$ km.
(a(ii))[4]
Show that $x^2 + 20x - 8000 = 0$
(b)[3]
Solve the equation $x^2 + 20x - 8000 = 0$.
(c)[2]
Find the fuel consumption rate for Alan’s car over the whole journey. Give your answer in litres per $100$ km.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac{600}{x+20}$” …