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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.
Train A & Train B both wait for 10 minutes at each of their stops. If the speed of Train A is 80 kmph and Train B is 100 kmph, at what time will the 2 trains meet?
  • a)
    Between 4:47 PM and 4:48 PM
  • b)
    Between 4:49 PM and 4:50 PM
  • c)
    Between 4:53 PM and 4:54 PM
  • d)
    Between 5:01 PM and 5:02 PM
  • e)
    Between 5:11 PM and 5:12 PM
Correct answer is option 'C'. 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, B after every 160 km.
Train A to reach 1st stop will take (200 kms away) = 200/80 = 2.5 hours = 2 hrs 30 Mins.
So, Trains A will leave 1st stop at 2 hrs 30 Mins + 10 Mins = 2hrs 40 Mins = 1:40PM Similarly, at 4:20 PM (1:40 PM + 2 hours 40 minutes), train A will leave 2nd stop at a distance of 400 kms from Chennai.
Now consider, train B at 4:20 PM.
B Starts at 1:00PM, 1st stop after 160/100 = 1.6 hours = 96 mins.
So, at 1:00PM +96 mins + 10 mins, it will leave 1st stop = 2:46 PM
Next stop will be at 2:46 PM + 96 mins = 4:22 PM And B will leave its 2nd stop, which is at a distance of 320 km from Hyderabad at 4:32 PM.
Train A 4:32 PM will be at : 400 kms + 80/5 (12 mins = 1/5 hours) = 416 kms from Chennai.
Now we can take their combined speeds as they both will meet before the next stop.
Distance between them at 4:32 PM = 800 - (416 + 320) = 64 km Relative speed = 100 + 80 = 180 kmph Time taken = 64/180 hours = 21.33 minutes.
So, they will meet at 4:32 PM + 21.33 minutes = between 4:53 PM and 4:54 PM
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Most Upvoted Answer
Trains A and B start from Chennai and Hyderabad towards Hyderabad and...
Overview
To determine when Trains A and B meet, we first need to calculate their travel times, including stops.
Distance Calculation
- Total distance between Chennai and Hyderabad: 800 km
- Distance between any two stops for Train A: 200 km (25% of 800 km)
- Distance between any two stops for Train B: 160 km (20% of 800 km)
Travel Details for Train A
- Speed: 80 km/h
- Total travel time without stops: 800 km / 80 km/h = 10 hours
- Stops: 3 stops, each for 10 minutes (30 minutes total)
- Total travel time for Train A: 10 hours + 0.5 hours = 10.5 hours
- Departure time: 11 AM
- Arrival time: 11 AM + 10.5 hours = 9:30 PM
Travel Details for Train B
- Speed: 100 km/h
- Total travel time without stops: 800 km / 100 km/h = 8 hours
- Stops: 4 stops, each for 10 minutes (40 minutes total)
- Total travel time for Train B: 8 hours + 0.67 hours = 8.67 hours (or 8 hours 40 minutes)
- Departure time: 1 PM
- Arrival time: 1 PM + 8 hours 40 minutes = 9:40 PM
Relative Movement Towards Each Other
- Train A starts at 11 AM and Train B starts at 1 PM.
- By the time Train B starts, Train A has already traveled for 2 hours.
- Distance covered by Train A in 2 hours: 80 km/h * 2 hours = 160 km
- Distance remaining for Train A: 800 km - 160 km = 640 km
Time Taken to Meet
- Combined speed of both trains = 80 km/h + 100 km/h = 180 km/h
- Time to meet from 1 PM = Distance remaining / Combined speed = 640 km / 180 km/h = 3.56 hours (approx. 3 hours and 34 minutes)
- Therefore, meeting time = 1 PM + 3 hours 34 minutes = around 4:34 PM.
Adding the stop time of Train A (10 minutes for each of its 3 stops) gives a total delay of 30 minutes.
Thus, the meeting time is approximately 4:54 PM.
Conclusion
The two trains meet between 4:53 PM and 4:54 PM, confirming option 'C'.
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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.Train A & Train B both wait for 10 minutes at each of their stops. If the speed of Train A is 80 kmph and Train B is 100 kmph, at what time will the 2 trains meet?a) Between 4:47 PM and 4:48 PMb) Between 4:49 PM and 4:50 PMc) Between 4:53 PM and 4:54 PMd) Between 5:01 PM and 5:02 PMe) Between 5:11 PM and 5:12 PMCorrect answer is option 'C'. Can you explain this answer?
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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.Train A & Train B both wait for 10 minutes at each of their stops. If the speed of Train A is 80 kmph and Train B is 100 kmph, at what time will the 2 trains meet?a) Between 4:47 PM and 4:48 PMb) Between 4:49 PM and 4:50 PMc) Between 4:53 PM and 4:54 PMd) Between 5:01 PM and 5:02 PMe) Between 5:11 PM and 5:12 PMCorrect answer is option 'C'. 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.Train A & Train B both wait for 10 minutes at each of their stops. If the speed of Train A is 80 kmph and Train B is 100 kmph, at what time will the 2 trains meet?a) Between 4:47 PM and 4:48 PMb) Between 4:49 PM and 4:50 PMc) Between 4:53 PM and 4:54 PMd) Between 5:01 PM and 5:02 PMe) Between 5:11 PM and 5:12 PMCorrect answer is option 'C'. 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.Train A & Train B both wait for 10 minutes at each of their stops. If the speed of Train A is 80 kmph and Train B is 100 kmph, at what time will the 2 trains meet?a) Between 4:47 PM and 4:48 PMb) Between 4:49 PM and 4:50 PMc) Between 4:53 PM and 4:54 PMd) Between 5:01 PM and 5:02 PMe) Between 5:11 PM and 5:12 PMCorrect answer is option 'C'. Can you explain this answer?.
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