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A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains met each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?
  • a)
    4 p.m.
  • b)
    2 p.m.
  • c)
    12 midnight
  • d)
    6 a.m.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., ...
Let the average speed of passenger train = x km/hr;
Since average speed of express train is 15 km/hr more than that of a passenger train and
Both the trains are running in opposite directions;
∴ Average speed of express train = (x + 15) km/hr
Since two trains met each other mid-route, which means both trains covered 540 km;
∴ 540/x – 540/(x + 15) = 3
Solving the equation;
x = 45
∴ Average speed of passenger train = 45 km/hr
And Average speed of express train = 60 km/hr
Let the after t hours from 6 p.m., both the trains met;
∴ Distance travelled by passenger train in t hour = distance travelled by express train in
(t – 3) hour
⇒ 45 × t = 60 × (t – 3)
⇒ 15t = 180
⇒ t = 12 hours
∴ The trains will meet at 6 a.m. 
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Most Upvoted Answer
A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., ...
Given:
- The distance between Delhi and Mumbai is 1080 km.
- The passenger train departs from Delhi at 6 p.m.
- The express train leaves Mumbai for Delhi at 9 p.m.
- The average speed of the express train exceeds that of the passenger train by 15 km/hour.

To find:
- At what time do the two trains meet?

Approach:
- We need to determine the time it takes for the two trains to meet.
- Since both trains are traveling towards each other, we can consider their combined speed.
- Using the formula: Speed = Distance / Time, we can calculate the time taken for the two trains to meet.

Calculation:

Distance between Delhi and Mumbai = 1080 km

Speed of passenger train = x km/hour
Speed of express train = (x + 15) km/hour

Time taken by passenger train to meet express train = Distance / Speed

Time taken by passenger train = 1080 / x

Time taken by express train = 1080 / (x + 15)

Since both trains meet mid-route, their total time taken would be the same.

1080 / x = 1080 / (x + 15)

Simplifying the equation:

1080(x + 15) = 1080x

1080x + 16200 = 1080x

16200 = 0

This equation is not possible, as it leads to a contradiction.

Hence, there is no valid solution to this problem.

Conclusion:
The given scenario is not possible. There is no valid time at which the passenger train and express train would meet mid-route.
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Community Answer
A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., ...
Answer ( D ) 6 a.m.
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A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains met each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?a)4 p.m.b)2 p.m.c)12 midnightd)6 a.m.Correct answer is option 'D'. Can you explain this answer?
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A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains met each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?a)4 p.m.b)2 p.m.c)12 midnightd)6 a.m.Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains met each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?a)4 p.m.b)2 p.m.c)12 midnightd)6 a.m.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains met each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?a)4 p.m.b)2 p.m.c)12 midnightd)6 a.m.Correct answer is option 'D'. Can you explain this answer?.
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