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A train without stoppage travels with an average speed of 50 km/h, and with stoppage, it travels with an average speed of 40 km/h. For how many minutes does the train stop on an average per hour? (SSC CGL-2018)
- a)12
- b)13
- c)14
- d)15
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A train without stoppage travels with an average speed of 50 km/h, and...
Distance travelled by the train in one h our without stoppage = 50 km with stoppage = 40 km
Extra distance = 50 – 40 = 10 km
Hence, stoppage time in one hour
Extra distance = 50 – 40 = 10 km
Hence, stoppage time in one hour
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Community Answer
A train without stoppage travels with an average speed of 50 km/h, and...
Understanding the problem:
- The train travels at 50 km/h without stoppage and at 40 km/h with stoppage.
- We need to find out how many minutes the train stops on average per hour.
Approach to the solution:
- Let the train stop for x minutes per hour.
- Distance covered without stoppage = 50 km
- Distance covered with stoppage = 40 km
Calculating the time taken without stoppage:
- Time = Distance / Speed
- Time taken without stoppage = 50 km / 50 km/h = 1 hour
Calculating the time taken with stoppage:
- Time taken with stoppage = 40 km / 40 km/h = 1 hour + x minutes
Calculating the average time:
- Average speed = Total distance / Total time
- 50 km/h = 90 km / (1 hour + x minutes)
- Solving for x, we get x = 12 minutes
Therefore, the train stops on average for 12 minutes per hour. Hence, the correct answer is option 'a) 12'.
- The train travels at 50 km/h without stoppage and at 40 km/h with stoppage.
- We need to find out how many minutes the train stops on average per hour.
Approach to the solution:
- Let the train stop for x minutes per hour.
- Distance covered without stoppage = 50 km
- Distance covered with stoppage = 40 km
Calculating the time taken without stoppage:
- Time = Distance / Speed
- Time taken without stoppage = 50 km / 50 km/h = 1 hour
Calculating the time taken with stoppage:
- Time taken with stoppage = 40 km / 40 km/h = 1 hour + x minutes
Calculating the average time:
- Average speed = Total distance / Total time
- 50 km/h = 90 km / (1 hour + x minutes)
- Solving for x, we get x = 12 minutes
Therefore, the train stops on average for 12 minutes per hour. Hence, the correct answer is option 'a) 12'.
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A train without stoppage travels with an average speed of 50 km/h, and with stoppage, it travels with an average speed of 40 km/h. For how many minutes does the train stop on an average per hour? (SSC CGL-2018)a)12b)13c)14d)15Correct answer is option 'A'. Can you explain this answer?
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