A train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours. Find the distance between the two stations
This questions was previously asked in
SSC CHSL 30th May 2022 Shift-1
Explanation:
- Let's solve for the distance. Let D be the distance between stations X and Y, and S be the initial speed of the train.
- The train covers the distance in 6 hours at speed S. So, \( D = 6S \).
- When speed is reduced by 13 km/h, the new speed is \( S - 13 \).
- With reduced speed, the train travels the same distance in 9 hours, so \( D = 9(S - 13) \).
- Setting both expressions for D equal gives: \( 6S = 9(S - 13) \).
- Simplifying, we get: \( 6S = 9S - 117 \).
- Solving for S, we get \( 3S = 117 \), so \( S = 39 \).
- Now substituting back to find D: \( D = 6 \times 39 = 234 \).
- Option:2, 234 km is the correct answer.
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By: santosh