A) \[4\frac{4}{13}\,\,\text{m}\]
B) \[6\frac{4}{11}\,\,\text{m}\]
C) \[12\frac{4}{11}\,\,\text{m}\]
D) \[=\frac{280}{6}-\frac{255}{6}=\frac{25}{6}=4.17\]
Correct Answer: B
Solution :
| The distance covered = 2 km 26 decameters |
| \[=(2\times 1000+26\times 10)\,\,\text{m}=2260\,\,\text{m}\] |
| The distance covered in one revolution |
| \[\text{=}\frac{\text{Total}\,\,\text{distance}}{\text{Number}\,\,\text{of}\,\,\text{revolutions}}=\frac{2260}{113}=20\,\,\text{m}\] |
| Number of revolutions 113 |
| Obviously, |
| Circumference of wheel \[=20\,\,\text{m}\] |
| \[\Rightarrow \] \[\pi \times \] diameter\[=20\,\,\text{m}\] |
| \[\Rightarrow \] Diameter \[=\frac{20}{\pi }=\frac{20\times 7}{22}=\frac{70}{11}=6\frac{4}{11}\,\,\text{m}\] |
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