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Question
The second class railway fare for 240 km of Journey is Rs 15.00. What would be the fare for a journey of 139.2 km?
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Solution
Let Rs x be the fare for a journey of 139.2 km.
| Distance (in km) | 240 | 139.2 |
| Fare (in Rs.) | 15 | x |
\[\text{ Since the distance travelled and the fare are in direct variation, we have: } \]
\[\frac{240}{139 . 2} = \frac{15}{x}\]
\[ \Rightarrow 240 \times x = 15 \times 139 . 2\]
\[ \Rightarrow x = \frac{15 \times 139 . 2}{240}\]
\[ = \frac{2088}{240}\]
\[ = 8 . 7\]
\[\text{ Thus, the fare for a journey of 139 . 2 km will be Rs } 8 . 70 .\]
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