The diameter of a cycle wheel is 70 cm. A cyclist takes 30 hours to reach a destination at the speed of 22 km/hr. How many revolutions will the wheel make during this journey?
- 3 million
- 3 lakh
- 4 lakh
- None of these
The Correct Option is B
Solution and Explanation
From the question we know that,
The Distance covered at 22 \(\frac{km}{hr}\) in 30 hours = 22 × 30 = 660 km = 66 × 106 \(cm\)
The radius of a cycle wheel = 35 cm \((\frac{70}{2})\ cm\) as 70 is diameter
In one revolution, the distance covered by the wheel will be equal to the Circumference of cycle wheel
Circumference of cycle wheel = \(2 \pi r\)
= \(2 \times \frac{22}{7} \times 35 = 220\ cm\)
Now, The Number of revolutions in the total journey = \(\frac{66 \times 10^6}{220}\) = 3 × 105
= 300000
The correct option is (B): 3 lakh
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