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An express train travelled at an average speed of 100 km/hr stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
- a)6 hrs 21 min
- b)6 hrs 24 min
- c)6 hrs 27 min
- d)6 hrs 30 min
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
An express train travelled at an average speed of100km/hr stopping for...
The express train travels at an average speed of 100 km/hr and makes a stop for 3 minutes after every 75 km. We need to find out how long it takes for the train to reach its destination, which is 600 km away from the starting point.
Step 1: Calculate the total time taken for the train to cover the distance of 600 km without any stops.
To calculate the time taken, we use the formula: Time = Distance / Speed.
Time taken without stops = 600 km / 100 km/hr = 6 hours
Step 2: Calculate the total time taken for the train to stop.
The train makes a stop for 3 minutes after every 75 km. To find out how many stops the train will make during the journey, we divide the total distance by the distance between each stop.
Number of stops = 600 km / 75 km = 8 stops
The total time taken for the train to stop = Number of stops * Time taken for each stop
= 8 stops * 3 minutes per stop
To convert minutes to hours, we divide the total time taken for the train to stop by 60.
Total time taken for the train to stop = (8 stops * 3 minutes per stop) / 60 minutes per hour
= 24 minutes / 60 minutes per hour
= 0.4 hours
Step 3: Calculate the total time taken for the train to reach its destination.
Total time taken = Time taken without stops + Total time taken for the train to stop
= 6 hours + 0.4 hours
= 6.4 hours
Step 4: Convert the total time taken to hours and minutes.
Since 0.4 hours is equal to 24 minutes, the total time taken is 6 hours and 24 minutes.
Therefore, the correct answer is option 'B': 6 hours 24 minutes.
Step 1: Calculate the total time taken for the train to cover the distance of 600 km without any stops.
To calculate the time taken, we use the formula: Time = Distance / Speed.
Time taken without stops = 600 km / 100 km/hr = 6 hours
Step 2: Calculate the total time taken for the train to stop.
The train makes a stop for 3 minutes after every 75 km. To find out how many stops the train will make during the journey, we divide the total distance by the distance between each stop.
Number of stops = 600 km / 75 km = 8 stops
The total time taken for the train to stop = Number of stops * Time taken for each stop
= 8 stops * 3 minutes per stop
To convert minutes to hours, we divide the total time taken for the train to stop by 60.
Total time taken for the train to stop = (8 stops * 3 minutes per stop) / 60 minutes per hour
= 24 minutes / 60 minutes per hour
= 0.4 hours
Step 3: Calculate the total time taken for the train to reach its destination.
Total time taken = Time taken without stops + Total time taken for the train to stop
= 6 hours + 0.4 hours
= 6.4 hours
Step 4: Convert the total time taken to hours and minutes.
Since 0.4 hours is equal to 24 minutes, the total time taken is 6 hours and 24 minutes.
Therefore, the correct answer is option 'B': 6 hours 24 minutes.
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Community Answer
An express train travelled at an average speed of100km/hr stopping for...
Distance=600 km
Speed=100 km/hr
Time =100/600=6hr
Number of stops in 600 km=(600/75)−1 = 7
Time of stopping after every 75 km = 3 min
Total time of stopping = 7×3 = 21min
Total time to cover 600 km is 6 hr 21 min.
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