Two carts start moving at the same time. Cart A has a wheel radius of 8 cm and travels a distance of 5 km. Cart B has a wheel radius of 12 cm and makes the same number of complete turns as Cart A. How far does Cart B travel? Give your answer in kilometres.

Step-by-step solution

1. For the same number of turns, distance traveled is proportional to the wheel radius.
2. Compute the ratio of the radii: $12:8=3:2$.
3. Multiply the distance of Cart A by this ratio: $5\times \frac{12}{8}=5\times 1.5=7.5$ km.

Concept tested: Distance is proportional to wheel radius for equal revolutions

Published 10 October 2026 · How this solution was prepared and checked