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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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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?

Short/Brief Note
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Solution

Let Rs 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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Chapter 10: Direct and Inverse Variations - Exercise 10.1 [Page 7]

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R.D. Sharma Mathematics [English] Class 8
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 14 | Page 7

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