2024 · Q44
A trolley with two wheels one metre apart is moved clockwise on the circular track around a ground with radius 50 m (described by right wheel). If the size of each wheel is of 1 foot radius and the right wheel turns 1000 times, how many times will the other wheel turn?
Elementary MathematicsCircles
- A1010
- B1015
- C1020
- D1025
Explanation
The right wheel describes a circle of radius 50 m (distance 2π×50) while the left wheel describes radius 51 m (distance 2π×51). Both wheels have the same 1-foot radius, so the number of turns is proportional to distance travelled, and the wheel size cancels out. Hence the left wheel turns 1000 × 51/50 = 1020 times — option C.