ABC26GN4579 · Area
Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
Find the diameter of a wheel that makes 113 revolutions to go 2 km 26 decameters.
(a)$4 \frac{4}{13} \mathrm{m}$
(b)$6 \frac{4}{11} \mathrm{m}$
(c)$12 \frac{4}{11} \mathrm{m}$
(d)$12 \frac{8}{11} \mathrm{m}$
Answer
Explanation
Let the diameter of the wheel be $d$ metres. Distance covered in 1 revolution $=(\pi d) \mathrm{m}$. Distance covered in 113 revolutions $=(113 \pi d) \mathrm{m}$. $$\begin{aligned} & \therefore 113 \times \frac{22}{7} \times d=226 \times 10 \\ & \Leftrightarrow d=\left(226 \times 10 \times \frac{7}{22} \times \frac{1}{113}\right) \mathrm{m}=6 \frac{4}{11} \mathrm{m} \end{aligned}$$
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