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Direction (46–48): Read the data given below carefully and answer the question. A train runs between four stations A, B, C and D on Monday and Tuesday. The average speed of the train on Monday during the whole journey is 50 km/h and the average speed on Tuesday during the whole journey is 62.5 km/h. On Monday, the train takes one hour less to cover the distance between A and B than it does on Tuesday. The train takes equal time to cover the distance between B and C on both days, while it takes three hours more to cover the distance between C and D on Monday than on Tuesday. The distance between A and B is 40% less than that between C and D. The distance between B and C is 50% more than that between A and B. Note: There is no halt or stoppage from station A to D. Find the total time taken by the train to cover the distance from A to D on Tuesday.

1. 6 hours
2. 8 hours
3. 10 hours
4. 12 hours

Correct answer: 8 hours

Solution

Using the given time differences and distance ratios, the segment times on Tuesday can be solved uniquely. The total Tuesday journey time comes out to 8 hours.

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