Question:
In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is
(a) 14 m
(b) 24 m
(c) 28 m
(d) 40 m
Solution:
(c) 28 m
Distance covered by the wheel in 1 revolution $=\left(\frac{88 \times 1000}{1000}\right) \mathrm{m}$
$=88 \mathrm{~m}$
We have:
Circumference of the wheel = 88 m
Now, let the diameter of the wheel be d m.
Thus, we have:
$\pi d=88$
$\Rightarrow \frac{22}{7} \times d=88$
$\Rightarrow d=\left(88 \times \frac{7}{22}\right)$
$\Rightarrow d=28 \mathrm{~m}$
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