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Diameter of a wheel is 3 m. The wheel revolves 28 times in a minute. To cover 5.280 km distance the wheel will take (π = 22 / 7)
1. 10 min
2. 20 min
3. 30 min
4. 40 min

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Correct Answer - Option 2 : 20 min

Given:

The diameter of wheel = 3 m

Number of revolutions in 1 min = 28

Distance to cover = 5.280 Km

Concept used:

Distance covered by wheel in 1 rotation = circumference of the wheel

Circumference = π × d

Calculation:

Circumference = π × d

⇒ Circumference = (22/7) × 3 = 66/7 m

Distance covered in 1 min = 28 rotations = 28 × 66/7 

⇒ Distance covered in 1 min = 264 m

Distance to be covered = 5.280 km = 5280m 

Time taken to cover 5280 m = 5280/264 = 20 mins

∴ Time taken to cover 5.280 km is 20 mins.

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