**Question Statement:**
Two trains start from Station A and Station B at 10:00 AM and travel towards each other. The distance between the two stations is 455 km. The train starting from Station A travels at 55 km/h, while the train starting from Station B travels at 45 km/h. At what time will the two trains meet?

**Options:**
(a) 1:00 PM
(b) 2:00 PM
(c) 3:00 PM
(d) 4:00 PM

Question

**Question Statement:**  
Two trains start from Station A and Station B at 10:00 AM and travel towards each other. The distance between the two stations is 455 km. The train starting from Station A travels at 55 km/h, while the train starting from Station B travels at 45 km/h. At what time will the two trains meet?

**Options:**  
(a) 1:00 PM  
(b) 2:00 PM  
(c) 3:00 PM  
(d) 4:00 PM

Accepted Answer

The distance between the two stations is given as 455 km. In one hour, the train from Station A covers 55 km. Therefore, after one hour, the remaining distance to be covered is:  
$$
455 - 55 = 400 \, 	ext{km}.
$$

The relative speed of the two trains is:  
$$
55 + 45 = 100 \, 	ext{km/h}.
$$

The time taken for both trains to meet is calculated as:  
$$
	ext{Time} = \frac{	ext{Remaining Distance}}{	ext{Relative Speed}} = \frac{400}{100} = 4 \, 	ext{hours}.
$$

Adding this time to the starting time of 10:00 AM gives:  
$$
10:00 \, 	ext{AM} + 4 \, 	ext{hours} = 2:00 \, 	ext{PM}.
$$

Thus, the trains will meet at **2:00 PM**, and the correct answer is **(b) 2:00 PM**.

Answer

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