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Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?
Verified Answer
Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train ...
Solution:
All three trains meet at the same time between Delhi and Mumbai. Which means Train A and Train B are at the same point at that time. This will happen when Train B is overtaking Train A.
Train A starts 3 hours before Train B. Therefore, by the time Train B leaves Mumbai, Train A has covered 3 * 60 = 180 kms.
The relative speed between Train A and Train B = 90 - 60 = 30 kmph. Therefore, Train B will overtake Train A in = 6 hours from the time Train B leaves Mumbai. That is at 3 A.M, Train B will overtake Train A. The point between Mumbai and Delhi at which Train B overtakes Train A will be 6*90=540 kms from Mumbai.
Train C will also be at that point at 3 A.M while Train B is overtaking Train A. And Train C would have travelled 1260-540 = 720 kms in these 6 hours. Therefore, the speed of Train C = 
= 120 km/hr.
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train ...
Given Information:
- Train A travels from Mumbai to Delhi at a speed of 60 km/hr and leaves at 6 P.M.
- Train B travels from Mumbai to Delhi at a speed of 90 km/hr and leaves at 9 P.M.
- Train C travels from Delhi to Mumbai and leaves at 9 P.M.
- The distance between Delhi and Mumbai is 1260 kms.
Approach:
1. Calculate the time taken by Train A to reach the meeting point.
2. Calculate the time taken by Train B to reach the meeting point.
3. Subtract the time taken by Train B from the time taken by Train A to find the time difference.
4. Add the time difference to the departure time of Train C to find its arrival time at the meeting point.
5. Calculate the speed of Train C using the formula: Speed = Distance / Time.
Calculations:
- Time taken by Train A to meet Train B:
Distance = Speed * Time
Time = Distance / Speed = 1260 km / 60 km/hr = 21 hours
- Time taken by Train B to meet Train A:
Distance = Speed * Time
Time = Distance / Speed = 1260 km / 90 km/hr = 14 hours
- Time difference = Time taken by Train A - Time taken by Train B = 21 hours - 14 hours = 7 hours
- Arrival time of Train C = Departure time of Train C + Time difference = 9 P.M. + 7 hours = 4 A.M.
- Speed of Train C:
Distance = Speed * Time
Speed = Distance / Time = 1260 km / 7 hours = 180 km/hr
Conclusion:
The speed of Train C is 180 km/hr.
- Train A travels from Mumbai to Delhi at a speed of 60 km/hr and leaves at 6 P.M.
- Train B travels from Mumbai to Delhi at a speed of 90 km/hr and leaves at 9 P.M.
- Train C travels from Delhi to Mumbai and leaves at 9 P.M.
- The distance between Delhi and Mumbai is 1260 kms.
Approach:
1. Calculate the time taken by Train A to reach the meeting point.
2. Calculate the time taken by Train B to reach the meeting point.
3. Subtract the time taken by Train B from the time taken by Train A to find the time difference.
4. Add the time difference to the departure time of Train C to find its arrival time at the meeting point.
5. Calculate the speed of Train C using the formula: Speed = Distance / Time.
Calculations:
- Time taken by Train A to meet Train B:
Distance = Speed * Time
Time = Distance / Speed = 1260 km / 60 km/hr = 21 hours
- Time taken by Train B to meet Train A:
Distance = Speed * Time
Time = Distance / Speed = 1260 km / 90 km/hr = 14 hours
- Time difference = Time taken by Train A - Time taken by Train B = 21 hours - 14 hours = 7 hours
- Arrival time of Train C = Departure time of Train C + Time difference = 9 P.M. + 7 hours = 4 A.M.
- Speed of Train C:
Distance = Speed * Time
Speed = Distance / Time = 1260 km / 7 hours = 180 km/hr
Conclusion:
The speed of Train C is 180 km/hr.
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Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?
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Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?.
Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?.
Solutions for Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms? in English & in Hindi are available as part of our courses for Class 10.
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