A train runs at the speed of 72 Km per hour The distance between any t...
Number of stations in 350 kilometers = 350/ 42 = 50/6 = 8 stations.
Time stopped at stations = 8 x 5 = 2/3 hrs
Time taken for travel = 350/72 + 2/3 = 5 hours 31 minutes 40 seconds
View all questions of this test
A train runs at the speed of 72 Km per hour The distance between any t...
To find the time taken by the train to travel a distance of 350 km, we need to consider the time taken for the actual travel as well as the time taken for the stops at each station.
Travel Time:
The train runs at a speed of 72 km per hour. Therefore, the time taken to travel 350 km can be calculated using the formula:
Time = Distance / Speed
= 350 km / 72 km per hour
= 4.86 hours
Stoppage Time:
The train stops at each station for 5 minutes. As there are multiple stations between the starting and ending points, we need to consider the number of stations and calculate the total stoppage time.
Number of Stations:
The distance between any two stations is given as 42 km. To find the number of stations between the starting and ending points, we can divide the total distance (350 km) by the distance between two stations (42 km).
Number of Stations = Total Distance / Distance between Stations
= 350 km / 42 km
= 8.33
Since we cannot have a fraction of a station, we round it down to the nearest whole number, which is 8.
Total Stoppage Time:
The train stops at each station for 5 minutes. Therefore, the total stoppage time can be calculated by multiplying the number of stations by the stoppage time per station.
Total Stoppage Time = Number of Stations x Stoppage Time per Station
= 8 stations x 5 minutes per station
= 40 minutes
Total Time Taken:
To find the total time taken by the train, we need to add the travel time and the stoppage time.
Total Time Taken = Travel Time + Stoppage Time
= 4.86 hours + 0.67 hours (40 minutes converted to hours)
= 5.53 hours
Converting to Hours, Minutes, and Seconds:
To convert the total time taken to hours, minutes, and seconds, we can multiply the decimal part by 60 to get the minutes and the decimal part of the minutes by 60 to get the seconds.
0.53 hours x 60 minutes per hour = 31.8 minutes
0.8 minutes x 60 seconds per minute = 48 seconds
Therefore, the total time taken by the train to travel 350 km is 5 hours 31 minutes 48 seconds. This is closest to option 'C' - 5 hours 31 minutes 40 seconds.
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.