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A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.
- a)15 minutes
- b)16 minutes
- c)18 minutes
- d)20 minutes
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A train normally covers a certain distance at a speed of 120 km/hr. H...
Normal speed of train = 120 km/h = 2 km/min
Since speed of train is 2 Km/minute, it can travel 84 km in 42 minutes and thus it halts for 18 minutes.
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A train normally covers a certain distance at a speed of 120 km/hr. H...
Understanding the Problem
To solve the problem, we need to analyze the average speeds and how they relate to the time spent traveling and stopping. The train has two speeds to consider: the normal speed (120 km/hr) and the average speed including stops (84 km/hr).
Calculating Distance and Time
1. Let’s assume a distance (D):
- For simplicity, we can consider the distance D = 120 km.
2. Time taken at normal speed:
- Time = Distance / Speed = 120 km / 120 km/hr = 1 hour.
3. Time taken at reduced average speed:
- Time = Distance / Average Speed = 120 km / 84 km/hr = 1.4286 hours (approximately).
Identifying the Stopping Time
1. Total time without stops:
- 1 hour (at 120 km/hr).
2. Total time with stops:
- Approximately 1.4286 hours (at 84 km/hr).
3. Calculating the stopping time:
- Stopping time = Total time with stops - Total time without stops
- Stopping time = 1.4286 hours - 1 hour = 0.4286 hours.
4. Converting stopping time into minutes:
- 0.4286 hours * 60 minutes/hour = 25.71 minutes ≈ 26 minutes.
Finding the Average Stopping Time in 1 Hour
- Since this stopping time occurs over a travel time of approximately 1.4286 hours, we need to find the average stopping time in just 1 hour.
- To find the average stopping time per hour of travel, we can set up a ratio:
Stopping time per hour = (26 minutes / 1.4286 hours) * 1 hour ≈ 18 minutes.
Thus, the average time the train stops in one hour is approximately 18 minutes. Therefore, the correct answer is option C.
To solve the problem, we need to analyze the average speeds and how they relate to the time spent traveling and stopping. The train has two speeds to consider: the normal speed (120 km/hr) and the average speed including stops (84 km/hr).
Calculating Distance and Time
1. Let’s assume a distance (D):
- For simplicity, we can consider the distance D = 120 km.
2. Time taken at normal speed:
- Time = Distance / Speed = 120 km / 120 km/hr = 1 hour.
3. Time taken at reduced average speed:
- Time = Distance / Average Speed = 120 km / 84 km/hr = 1.4286 hours (approximately).
Identifying the Stopping Time
1. Total time without stops:
- 1 hour (at 120 km/hr).
2. Total time with stops:
- Approximately 1.4286 hours (at 84 km/hr).
3. Calculating the stopping time:
- Stopping time = Total time with stops - Total time without stops
- Stopping time = 1.4286 hours - 1 hour = 0.4286 hours.
4. Converting stopping time into minutes:
- 0.4286 hours * 60 minutes/hour = 25.71 minutes ≈ 26 minutes.
Finding the Average Stopping Time in 1 Hour
- Since this stopping time occurs over a travel time of approximately 1.4286 hours, we need to find the average stopping time in just 1 hour.
- To find the average stopping time per hour of travel, we can set up a ratio:
Stopping time per hour = (26 minutes / 1.4286 hours) * 1 hour ≈ 18 minutes.
Thus, the average time the train stops in one hour is approximately 18 minutes. Therefore, the correct answer is option C.
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A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?
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A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect 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 A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect 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 A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?.
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A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A train normally covers a certain distance at a speed of 120 km/hr. However, if we include the time for which it stops in between, its average speed gets reduced to 84 km/hr. Find the time for which it stops on an average, in 1 hour.a)15 minutesb)16 minutesc)18 minutesd)20 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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