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Amrita takes \(18\) hours to travel \(720\) kilometres. Time taken by her to travel \(360\) kilometres is ___.
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Question

Amrita takes \(18\) hours to travel \(720\) kilometres. Time taken by her to travel \(360\) kilometres is ___.

Answer

\(9\ \text{hours}\)
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Solution

Time taken by Amrita to travel \(720\ km =18\ \text{hours}\)
Time taken by Amrita to travel \(1\ km =\frac{18}{720}\ \text{hours}\)
Therefore, time taken by Amrita to travel \(360\ km =\frac{18}{720}\times 360\ \text{hours}\)
\(=\frac{18}{2}\ \text{hours}\)
\(=9\ \text{hours}\)
Hence, time taken by Amrita is \(9\ \text{hours}\).
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