A train travels at the speed of 65 km/hr and halts at 8 junctions for a certain time. It covers a distance of 1300 km in 1 day (24 hours). How long does the train stop at each junction, if it halts for the same period of time at all the junctions?

### Concept & Time and Speed The total time taken for a journey includes both the actual moving time and the stoppage time. $$ \text{Total Time} = \text{Travel Time} + \text{Total Halt Time} $$ ### Step-by-Step Solution * **Calculate Travel Time:** The actual time spent moving can be calculated using the distance and speed. Travel Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{1300}{65} = 20$ hours. * **Determine Total Halt Time:** The total journey took 24 hours. Total Halt Time = Total Time - Travel Time = $24 - 20 = 4$ hours. * **Convert Halt Time to Minutes:** $4 \text{ hours} = 4 \times 60 = 240$ minutes. * **Calculate Halt Time per Junction:** The train halts at 8 junctions for equal durations. Time per junction = $\frac{240}{8} = 30$ minutes. ### Exam Strategy & Shortcut Recognize that $1300 = 13 \times 100$ and $65 = 13 \times 5$. The division $\frac{1300}{65}$ quickly simplifies to $\frac{100}{5} = 20$. With 4 hours of rest divided over 8 stops, it's clearly half an hour (30 minutes) per stop. ### Common Pitfall A common error is forgetting to convert the 4 hours of total stoppage time into minutes before dividing by the 8 junctions, leading to a confusing fraction of an hour and possible selection of "None of these". ### Final Answer Therefore, the correct answer is **30 minutes**.