Question:medium

The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are nterchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

Updated On: Jan 15, 2026
  • 1: 4
  • 7: 5
  • 5:7
  • 4:1
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The Correct Option is C

Solution and Explanation

The distance from B to C is thrice that from A to B.
Let the speed of Train 1 from point A to B be \(s\).
Then the speed of Train 2 from A to B is \(2s\).

Time taken by Train 1 to travel from A to C:
\[ \frac{D}{s} + \frac{3D}{2s} = \frac{5D}{2s} \]

Time taken by Train 2 to travel from A to C:
\[ \frac{D}{2s} + \frac{3D}{s} = \frac{7D}{2s} \]

The ratio of time taken (Train 1 : Train 2) is:
\[ \frac{5D}{2s} : \frac{7D}{2s} = 5 : 7 \]

✅ Final Answer: Option (C): \(5 : 7\)

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The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
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