Question : The diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed of 11 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 12500
Option 2: 15000
Option 3: 17750
Option 4: 20000
Correct Answer: 12500
Solution :
Let the radius and diameter be $r$ and D, respectively.
The distance covered in 1 revolution = 2$\pi r$ = $\pi$D = $\frac{22}{7}$ × 14 = 44 cm = 0.44 m
Total distance covered in the journey = Speed × Time = 11 × ($\frac{30}{60}$) = 5.5 km = 5500 m
Total number of revolution = $\frac{5500}{0.44}$ = 12500
Hence, the correct answer is 12500.
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