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Two stations A and B are 920 km apart. A train T-|, which stops for 5 minutes at every town-station and for 3 minutes at every village-station started from A with a speed of 60 km/hr towards B and at the same time a train T2 with a speed of 80 km/hr which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations - town or village - are there between A and C? Assume T-| stops only at town or village-stations.
  • a)
    12
  • b)
    13
  • c)
    14
  • d)
    16
  • e)
    20
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two stations A and B are 920 km apart. A train T-|, which stops for 5 ...
Train T2 covered 560 km with a speed of 80 kmph in 7 hours.
Train T1 covered 920 - 560 = 360 km in 7 hours. The speed of train T1 = 60 km/hr
Thus T1 traveled only for 6 hours (360/60) and it must have halted for a total of 60 minutes.
Suppose the number of town-stations are x and the number of village-stations are y and x < y, then: 5x + 3y = 60
We get three combinations of (x, y) satisfying the conditions for this equation: (3, 15), (6, 10) or (0, 20).
Thus there are at least 6 + 10 = 16 stations between A and C.
Hence, option 4.
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Most Upvoted Answer
Two stations A and B are 920 km apart. A train T-|, which stops for 5 ...
Time taken by T2 to reach C=560/80=7 hrs,
travel time of T1=360/60=6 hrs.
Therefore, T1 spent 1 hr=60 mins halting at stations.
Now, 60=5(x)+3(y). Possible answers for (x,y) are (12,0), (6,10) and (0,20).
Given x
Thus, there are *at least* 16 stations in all.
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Community Answer
Two stations A and B are 920 km apart. A train T-|, which stops for 5 ...
Train T2 covered 560 km with a speed of 80 kmph in 7 hours.
Train T1 covered 920 - 560 = 360 km in 7 hours. The speed of train T1 = 60 km/hr
Thus T1 traveled only for 6 hours (360/60) and it must have halted for a total of 60 minutes.
Suppose the number of town-stations are x and the number of village-stations are y and x < y, then: 5x + 3y = 60
We get three combinations of (x, y) satisfying the conditions for this equation: (3, 15), (6, 10) or (0, 20).
Thus there are at least 6 + 10 = 16 stations between A and C.
Hence, option 4.
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Two stations A and B are 920 km apart. A train T-|, which stops for 5 minutes at every town-station and for 3 minutes at every village-station started from A with a speed of 60 km/hr towards B and at the same time a train T2 with a speed of 80 km/hr which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations - town or village - are there between A and C? Assume T-| stops only at town or village-stations.a)12b)13c)14d)16e)20Correct answer is option 'D'. Can you explain this answer?
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Two stations A and B are 920 km apart. A train T-|, which stops for 5 minutes at every town-station and for 3 minutes at every village-station started from A with a speed of 60 km/hr towards B and at the same time a train T2 with a speed of 80 km/hr which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations - town or village - are there between A and C? Assume T-| stops only at town or village-stations.a)12b)13c)14d)16e)20Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two stations A and B are 920 km apart. A train T-|, which stops for 5 minutes at every town-station and for 3 minutes at every village-station started from A with a speed of 60 km/hr towards B and at the same time a train T2 with a speed of 80 km/hr which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations - town or village - are there between A and C? Assume T-| stops only at town or village-stations.a)12b)13c)14d)16e)20Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two stations A and B are 920 km apart. A train T-|, which stops for 5 minutes at every town-station and for 3 minutes at every village-station started from A with a speed of 60 km/hr towards B and at the same time a train T2 with a speed of 80 km/hr which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then at least how many stations - town or village - are there between A and C? Assume T-| stops only at town or village-stations.a)12b)13c)14d)16e)20Correct answer is option 'D'. Can you explain this answer?.
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