Question

The diameter of a bike wheel is 80 cm. What is the number of complete rotations that the wheel makes to cover a distance of 176 m?

• A. 55
• B. 70
• C. 120
• D. 80

Answer 1

The correct option is B

70

Given,
Diameter of wheel = 80 cm
Circumference = $\pi d$
= $\frac{22}{7}$ x 80 cm
= $\frac{1760}{7}$cm

Given,
Total distance covered = 176 m
= 176 x 100 cm [Since 1 m = 100 cm]

Total distance = Distance covered in one rotation (circumference) x No. of rotations
$\Rightarrow 176\times 100=\frac{1760}{7}$ x No. of rotations

$\therefore$ No. of rotations = $\frac{176\times 100\times 7}{1760}$ = 70

$\therefore$ The wheel makes 70 complete rotations to cover 176 m distance.