A train travelled at an average speed of 100 km/hr, stopping for 5 minutes…
2024
A train travelled at an average speed of 100 km/hr, stopping for 5 minutes after every 75 km. How long does it take to reach its destination 600 km from the starting point ?
- A.
6 hrs. 24 mins
- B.
6 hrs. 35 mins
- C.
6 hrs. 30 mins
- D.
6 hrs. 40 mins
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Correct Option
Option B: 6 hrs. 35 mins
Step-by-Step Solution
Calculate the pure travel time:
The total distance is 600 km and the average speed is 100 km/hr.
Travel Time = Distance / Speed = 600 / 100 = 6 hours.
Determine the number of stops:
The train stops after every 75 km.
Total segments = 600 / 75 = 8 segments.
Since the train does not stop after the final segment (because it has reached its destination), the number of stops is 8 - 1 = 7 stops.
Calculate the total stoppage time:
Each stop is 5 minutes.
Total Stoppage Time = 7 stops * 5 minutes/stop = 35 minutes.
Calculate the total time:
Total Time = Travel Time + Stoppage Time = 6 hours + 35 minutes = 6 hours and 35 minutes.