Question:
The diameter of a wheel is 40 cm. How many revolutions will it make in covering 176 m?
(a) 140
(b) 150
(c) 160
(d) 166
Solution:
(a) 140
Distance covered by the wheel in 1 revolution $=\pi d$
$=\left(\frac{22}{7} \times 40\right) \mathrm{cm}$
$=\frac{880}{7} \mathrm{~cm}$
$=\frac{880}{7 \times 100} \mathrm{~m}$
Number of revolutions required to cover $176 \mathrm{~m}=\left(\frac{176}{\frac{880}{7 \times 100}}\right)$
$=\left(176 \times 100 \times \frac{7}{880}\right)$
$=140$
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