Question : The diameter of each wheel of a car is 70 cm. If each wheel rotates 400 times per minute, then the speed of the car (in km/hr) is: (Take $\pi=\frac{22}{7}$)
Option 1: 0.528
Option 2: 528
Option 3: 52.8
Option 4: 5.28
Correct Answer: 52.8
Solution :
Given: The diameter of each wheel of a car is 70 cm and each wheel rotates 400 times per minute.
Circumference of the wheel of the car = $\pi×d=\frac{22}{7}×70=220$ cm.
So distance covered in 1 rotation = 220 cm,
and distance covered in 1 minute = (220 × 400) cm
Also, distance covered in 1 hour,
= (220 × 400 × 60) cm
= $\frac{220×400×60}{1000×100}$ km
= 52.8 km
So, the speed of the car is 52.8 km/hr.
Hence, the correct answer is 52.8.
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