Diameter of wheel of a cycle is 17.5 cm. A cyclist takes 165 minutes to travel…
2021
Diameter of wheel of a cycle is 17.5 cm. A cyclist takes 165 minutes to travel a distance with speed of 90 km/hr. How many revolutions will the wheel make during the journey?
- A.
450000
- B.
500000
- C.
425000
- D.
525000
Attempted by 10 students.
Show answer & explanation
Correct answer: A
Convert time to hours: 165 minutes / 60 = 2.75 hours.
Calculate total distance in km: 90 km/hr * 2.75 hr = 247.5 km.
Convert distance to cm: 247.5 km * 100,000 cm/km = 24,750,000 cm.
Find wheel circumference: Circumference = π * diameter = (22 / 7) * 17.5 cm = 55 cm.
Number of revolutions: Total distance / Circumference = 24,750,000 / 55 = 450,000.
Final Answer: Option 1 (450000)