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Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

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28 °

24 °

34 °

30 °

answer is B.

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Detailed Solution

We have been given a wheel with 15 spokes.
We know that two variables are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y

are two variables in inverse variations, then

x y = k,

where k is a proportionality constant.
Total angle of a wheel is

360 °

.
Here, if the number of spokes increases, then the angle between each consecutive will decrease making a constant centre angle of

360 °

for each case

(k = 360 °)

.
So, it is in the inverse proportion.
Let the angle between a pair be

θ

for 15 spokes.
So,

15 × θ = 360 °

⇒ θ = 360 ° 15 ⇒ θ = 24 °

Therefore, the angle between a pair of consecutive spokes on a wheel with 15 spokes is

24 °

.
Hence, option 2 is correct.

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