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A man travelled from the village to the railway station at the rate of \(20\text{ Kmph}\) and walked…

Let the distance be d. The time taken is \(\frac{d}{20}+\frac{d}{5}=\frac{d+4d}{20}=\frac{d}{4}\) hours. Setting \(\frac{d}{4}=5\) gives \(d=20\) km.

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A man travelled from the village to the railway station at the rate of 20 Kmph20\text{ Kmph} and walked back at the rate of 5 kmph5\text{ kmph}. If the whole journey took 5 hours5\text{ hours}, find the distance of the railway station from the village.

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Correct answer C

Let the distance be d. The time taken is d20+d5=d+4d20=d4\frac{d}{20}+\frac{d}{5}=\frac{d+4d}{20}=\frac{d}{4} hours. Setting d4=5\frac{d}{4}=5 gives d=20d=20 km.

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