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Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes? - Mathematics

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Question

Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes?

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Solution

Let the distance travelled in 315 minutes be x km.
 

Time (in minute) 125 315
Distance(in metre) 100 x

\[\text{ If the distance travelled is more, the time needed to cover it will also be more . } \]
\[\text{ Therefore, it is a direct variation } . \]
\[\text{ We get: }  \]
\[125: 315 = 100: x\]
\[ \Rightarrow \frac{125}{315} = \frac{100}{x}\]
\[\text{ Applying cross muliplication, we get: }  \]
\[x = \frac{100 \times 315}{125}\]
\[ = 252\]
\[\text{ Thus, Anupama would cover 252 metre in 315 minutes }  .\]

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

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RD Sharma Mathematics [English] Class 8
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 8 | Page 7

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