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30 vote

The time required for a boy to travel along the external and internal boundaries of a circular path are in the ratio 20:19. If the width of the path be 5 metres, the internal diameter is :

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The time required for a boy to travel along the external and internal boundaries of a circular path are in the ratio 20:19. If the width of the path be 5 metres, the internal diameter is :
1). 195 metres
2). 192 metres
3). 180 metres
4). 190 metres

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2 answers

26 vote
Answered by on | Votes 26 |
right answer for this question is option 4

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3 vote
Answered by on | Votes 3 |

Let internal radius of the path be $r$ m and thus external radius $= (r+5)$ m

As, distance $\propto$ time

$= \frac{2\pi (r+5)}{2\pi r}=\frac{20}{19}$

$= 19r+95=20r$

$= 20r-19r=r=95$

$\therefore$ Internal diameter $= 2\times95=190$ m

= Ans Option (4) - $190$ meter

Accepted Answer




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