A train leaves New Delhi at 1915 hours and arrives
Mathura at 2205 hours. The distance between two
stations is 144 km . Find the speed of the train.

Question

A train leaves New Delhi at 1915 hours and arrives Mathura at 2205 hours. The distance between two stations is 144 km . Find the speed of the train.

UpStudy AI · Accepted Answer

To determine the speed of the train, follow these steps:

1. **Calculate the Time Taken:**
   
   - **Departure Time:** 19:15 hours (7:15 PM)
   - **Arrival Time:** 22:05 hours (10:05 PM)
   
   To find the duration between departure and arrival:

$$
   \text{Time Taken} = 22:05 - 19:15 = 2 \text{ hours and } 50 \text{ minutes}
   $$
   
   Convert the time to hours:

$$
   2 \text{ hours} + \frac{50 \text{ minutes}}{60} = 2 + \frac{5}{6} = \frac{17}{6} \text{ hours} \approx 2.8333 \text{ hours}
   $$

2. **Calculate the Speed:**
   
   The formula for speed is:

$$
   \text{Speed} = \frac{\text{Distance}}{\text{Time}}
   $$
   
   Given the distance is 144 km:

$$
   \text{Speed} = \frac{144 \text{ km}}{2.8333 \text{ hours}} \approx 50.82 \text{ km/h}
   $$

**Rounded to two decimal places, the speed of the train is approximately 50.82 km/h.**

**Final Answer:**  
The train travels at approximately **50.82 km/h**.
The train travels at approximately 50.82 km/h.

A train leaves New Delhi at 1915 hours and arrives
Mathura at 2205 hours. The distance between two
stations is 144 km . Find the speed of the train.

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