Question : The diameter of a wheel on a bicycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 12325
Option 2: 18750
Option 3: 21000
Option 4: 24350
Correct Answer: 18750
Solution :
Here, 16.5 km/hr = $\frac{16500}{60}$ m/min = 275 m/min
So, the total distance of the journey is = (275 × 45) = 12375 metres = 1237500 cm
Here, the diameter of a wheel on a bicycle is 21 cm.
⇒ the radius is = $\frac{21}{2}$ cm
⇒ the circumference of the wheel = $(2 × \frac{22}{7}×\frac{21}{2})$ cm = 66 cm
$\therefore$ During the journey, the wheel will make ($\frac{1237500}{66}$) = 18750 revolutions
Hence, the correct answer is 18750.
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