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Mr. Verma goes from New Delhi to Amritsar via Karnal, Ludhiana and Jalandhar. The distance between the cities is in the ratio of 2 : 3 : 2 : 3. The time taken by Mr. Verma to cover these distances is in the ratio of 5 : 3 : 2 : 5. If Mr. Verma takes 10 hours to go from New Delhi to Amritsar, then what is the difference between the time taken by him to go from Karnal to Ludhiana and that from Jalandhar to Amritsar?

Mr. Verma goes from New Delhi to Amritsar via Karnal, Ludhiana and Jalandhar. The distance between the cities is in the ratio of 2 : 3 : 2 : 3. The time taken by Mr. Verma to cover these distances is in the ratio of 5 : 3 : 2 : 5. If Mr. Verma takes 10 hours to go from New Delhi to Amritsar, then what is the difference between the time taken by him to go from Karnal to Ludhiana and that from Jalandhar to Amritsar? Correct Answer 80 min

Calculation:

Suppose the time taken be 5x, 3x, 2x, and 5x, respectively.

So, total time taken = 5x + 3x + 2x + 5x = 15x

From the question,

⇒ 15x = 10 hours

⇒ x = (2/3) hours 

Time taken from Karnal to Ludhiana = 3x = 3 × (2/3) hours = 2 hours = 120 minutes

Time taken from Jalandhar to Amritsar = 5x = 5 × (2/3) hours = 10/3 hours = 200 minutes

∴ Required difference = 200 minutes – 120 minutes = 80 minutes

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