$\begin{array}{1 1}(A)\;20cm/sec\\(B)\;24\pi cm/sec\\(C)\;24cm/sec\\(D)\;24cm/sec\end{array} $

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- $r=\large\frac{d}{2}$
- Circumference =$2\pi r$

Given :

Diameter of the wheel =40cm

$\therefore$ Radius of the wheel =20cm

Circumference of the wheel =$2\pi r$

$\Rightarrow 2\pi \times 20$

$\Rightarrow 40\pi$cm

Number of revolutions made in 1 second =$ 6$

$\therefore$ Distance covered in 1 second=$40\pi\times 6$

$\Rightarrow 240\pi $cm

$\therefore$ Speed of the train =$24\pi $cm/sec

Hence (B) is the correct answer.

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