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Trains A and B start from Chennai and Hyderabad towards Hyderabad and Chennai respectively. Train A has 3 stops between Chennai and Hyderabad. The distance between any 2 stops is exactly 25% of the overall distance between Chennai and Hyderabad. Train B has 4 stops, and distance between any 2 stops is exactly equal to 20% of the overall distance. Train A starts at 11 AM, while Train B starts at 1 PM. Distance between Chennai and Hyderabad is 800 kms.
Due to a failure in the engine, Train A has to wait at its 1st stop for 1 hour, while it waits for 15 minutes at all other stops. Train B waits 5 minutes at all its stops. If Speed of Train A is 100 kmph, and the speed of Train B is 60% more than that of Train A, at approximately what distance from Chennai will the trains cross each other?
  • a)
    350 Kms
  • b)
    360 Kms
  • c)
    370 Kms
  • d)
    380 Kms
  • e)
    390 Kms
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Trains A and B start from Chennai and Hyderabad towards Hyderabad and...
Train A stops after every 200 Km, and train B stops after every 160 km.
Speed of train A = 100 kmph
Speed of train B = 100 x 1.6 = 160 kmph
Time B leaves its first stop = 1PM + 160/160 hrs + 5 minutes break = 2:05 PM
So, at 2:05PM, Train B will be at 160 Km from Hyderabad
Similarly, at 3:10 PM, it will be leaving its 2nd stop, 320 km from Hyderabad.
At 3:10 PM, let's check where Train A will be:
Time to reach stop 1 = 11 AM + 200/100 hours = 1 PM
Time to leave stop 1 = 1 PM + 1 hr = 2 PM At, 3:10 PM, it will be at 200 kms + (100 kmph x (70 mins/60 mins)) = 316.67 Km from Chennai Next stop for Train A = 4PM, for B = 4:10 PM.
Distance between trains = 800 - (320 + 316.67) = 163.32 Km
Relative speed = 100 + 160 = 260 kmph
Time to cover 163.62 km = 37.69 mins
Train A would have covered 316.67 kms + 100 x 37.69/60 = 379 Kms ~ 380 kms.
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Most Upvoted Answer
Trains A and B start from Chennai and Hyderabad towards Hyderabad and...
To solve this problem, we need to calculate the time taken by each train to reach the crossing point, and then use the formula Distance = Speed x Time to find the distance from Chennai where the trains cross each other.

1. Calculating the time taken by Train A:
- Train A starts at 11 AM and waits for 1 hour at its first stop. So, it starts moving again at 12 PM.
- The total distance between Chennai and Hyderabad is 800 km. Since there are 3 stops, the distance between any 2 stops is 800/3 = 266.67 km.
- Train A waits for 15 minutes at each stop, so the total waiting time at stops is (3-1) x 15 = 30 minutes or 0.5 hours.
- The time taken by Train A to cover the distance between Chennai and its last stop (excluding the waiting time) is 800 - 266.67 = 533.33 km.
- The speed of Train A is 100 kmph, so the time taken to cover this distance is 533.33/100 = 5.33 hours.
- Therefore, the total time taken by Train A to reach the crossing point is 12 PM + 0.5 hours (waiting time) + 5.33 hours = 5.83 hours.

2. Calculating the time taken by Train B:
- Train B starts at 1 PM and does not have any waiting time at its stops.
- The total distance between Chennai and Hyderabad is 800 km. Since there are 4 stops, the distance between any 2 stops is 800/4 = 200 km.
- The speed of Train B is 60% more than Train A, so its speed is 100 + (60/100) x 100 = 160 kmph.
- The time taken by Train B to cover the distance between Chennai and its last stop is 800 - 200 = 600 km.
- The speed of Train B is 160 kmph, so the time taken to cover this distance is 600/160 = 3.75 hours.
- Therefore, the total time taken by Train B to reach the crossing point is 1 PM + 3.75 hours = 4.75 hours.

3. Calculating the distance from Chennai where the trains cross each other:
- Let x be the distance from Chennai where the trains cross each other.
- The time taken by Train A to reach the crossing point is 5.83 hours, and the time taken by Train B is 4.75 hours.
- Using the formula Distance = Speed x Time, we have:
- Distance covered by Train A = 100 x 5.83 = 583.33 km
- Distance covered by Train B = 160 x 4.75 = 760 km
- The sum of the distances covered by both trains should be equal to the total distance between Chennai and Hyderabad, which is 800 km.
- So, 583.33 + 760 = 1343.33 km
- Therefore, the distance from Chennai where the trains cross each other is 1343.33 - 800 = 543.33 km, which is approximately 380 km.

Hence, the correct answer is option 'D' - 380 Kms.
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Trains A and B start from Chennai and Hyderabad towards Hyderabad and Chennai respectively. Train A has 3 stops between Chennai and Hyderabad. The distance between any 2 stops is exactly 25% of the overall distance between Chennai and Hyderabad. Train B has 4 stops, and distance between any 2 stops is exactly equal to 20% of the overall distance. Train A starts at 11 AM, while Train B starts at 1 PM. Distance between Chennai and Hyderabad is 800 kms.Due to a failure in the engine, Train A has to wait at its 1st stop for 1 hour, while it waits for 15 minutes at all other stops. Train B waits 5 minutes at all its stops. If Speed of Train A is 100 kmph, and the speed of Train B is 60% more than that of Train A, at approximately what distance from Chennai will the trains cross each other?a) 350 Kmsb) 360 Kmsc) 370 Kmsd) 380 Kmse) 390 KmsCorrect answer is option 'D'. Can you explain this answer?
Question Description
Trains A and B start from Chennai and Hyderabad towards Hyderabad and Chennai respectively. Train A has 3 stops between Chennai and Hyderabad. The distance between any 2 stops is exactly 25% of the overall distance between Chennai and Hyderabad. Train B has 4 stops, and distance between any 2 stops is exactly equal to 20% of the overall distance. Train A starts at 11 AM, while Train B starts at 1 PM. Distance between Chennai and Hyderabad is 800 kms.Due to a failure in the engine, Train A has to wait at its 1st stop for 1 hour, while it waits for 15 minutes at all other stops. Train B waits 5 minutes at all its stops. If Speed of Train A is 100 kmph, and the speed of Train B is 60% more than that of Train A, at approximately what distance from Chennai will the trains cross each other?a) 350 Kmsb) 360 Kmsc) 370 Kmsd) 380 Kmse) 390 KmsCorrect 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 Trains A and B start from Chennai and Hyderabad towards Hyderabad and Chennai respectively. Train A has 3 stops between Chennai and Hyderabad. The distance between any 2 stops is exactly 25% of the overall distance between Chennai and Hyderabad. Train B has 4 stops, and distance between any 2 stops is exactly equal to 20% of the overall distance. Train A starts at 11 AM, while Train B starts at 1 PM. Distance between Chennai and Hyderabad is 800 kms.Due to a failure in the engine, Train A has to wait at its 1st stop for 1 hour, while it waits for 15 minutes at all other stops. Train B waits 5 minutes at all its stops. If Speed of Train A is 100 kmph, and the speed of Train B is 60% more than that of Train A, at approximately what distance from Chennai will the trains cross each other?a) 350 Kmsb) 360 Kmsc) 370 Kmsd) 380 Kmse) 390 KmsCorrect 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 Trains A and B start from Chennai and Hyderabad towards Hyderabad and Chennai respectively. Train A has 3 stops between Chennai and Hyderabad. The distance between any 2 stops is exactly 25% of the overall distance between Chennai and Hyderabad. Train B has 4 stops, and distance between any 2 stops is exactly equal to 20% of the overall distance. Train A starts at 11 AM, while Train B starts at 1 PM. Distance between Chennai and Hyderabad is 800 kms.Due to a failure in the engine, Train A has to wait at its 1st stop for 1 hour, while it waits for 15 minutes at all other stops. Train B waits 5 minutes at all its stops. If Speed of Train A is 100 kmph, and the speed of Train B is 60% more than that of Train A, at approximately what distance from Chennai will the trains cross each other?a) 350 Kmsb) 360 Kmsc) 370 Kmsd) 380 Kmse) 390 KmsCorrect answer is option 'D'. Can you explain this answer?.
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