Mathematics
The diameter of the front wheel and the rear wheel of the cycle are 70 cm and 168 cm respectively. In covering a certain distance, the front wheel makes 600 revolutions. The number of revolutions made by the rear wheel to cover the same distance is :
248
250
252
254
Mensuration
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Answer
Circumference of circle = 2πr = πd
Front wheel circumference :
C1 = π × 70
Rear wheel circumference :
C2 = π × 168
Distance covered by front wheel in 600 revolutions = 600 × π × 70
Let rear wheel revolutions = x
Since both cover the same distance
∴ x × π × 168 = 600 × π × 70
x =
x = = 250.
Hence, option 2 is the correct option.
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