Question : The diameter of the wheel of a cycle is 7 cm. A cyclist takes 75 minutes to reach a destination at the speed of 36.3 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 206250
Option 2: 212520
Option 3: 196280
Option 4: 216580
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Correct Answer: 206250
Solution :
The diameter of the wheel of a cycle = 7 cm
Time taken to reach the destination = 75 minutes = 1.25 hr
Seed of cycle = 36.3 km/hr
Total distance = Time × Speed = 1.25 × 36.3 km
Number of revolutions = $\frac{\text{Total distance covered}}{\text{Distance covered in 1 revolution}}$
= $\frac{1.25 × 36.3 × 1000 × 100}{2× \frac{22}{7} × \frac{7}{2}}$
= 206250
Hence, the correct answer is 206250.
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