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Q.

The diameter of the wheel of a car is 70cm. How many revolutions will it make to travel 1.65 km?

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a

755

b

700

c

730

d

750

answer is D.

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Detailed Solution

Concept- First, determine the wheel's radius, which is equal to its diameter. The wheel's circumference, which is equal to the distance covered by one rotation, may be calculated using the radius of the wheel. By dividing the whole distance by the wheel's circumference, one can calculate the number of revolutions.
We are informed that the wheel's diameter is 70 cm.
Radius is known to be equal to half of diameter.
Question Image

Question Image

So, the diameter of the wheel is calculated as

By calculating out the circumference of the wheel, we will find the distance covered by one rotation.
The wheel's circumference is equal to

, where r is its radius.
In that case, the distance covered in one revolution is:

To convert that into kilometres, we'll divide it by 10,000.

Thus,

is covered in 1 revolution.
The number of revolutions is then determined by dividing the given distance by the distance covered by one revolution.

Hence, the correct answer is option (4).

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