Tyre Wear
A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?
Age
11 to 14
Challenge level
Problem
A car with $5$ tyres (four road tyres and a spare) travelled $30000 \;\text{km}$. All $5$ tyres were used equally. How many kilometres' wear did each tyre receive?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
Answer: 24000 km
Of the $5$ tyres, $4$ are used at any one time, so each tyre is used for $\frac{4}{5}$ of the journey, or $$\frac{4}{5} \times 30000 \; \text{km} = 24000 \; \text{km}$$