Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two stations is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 350.
Let the time taken to meet = t hours
Distance by 1st train = 75t
Distance by 2nd train = 100t
According to the question,
⇒ 100t − 75t = 50
⇒ 25t = 50
⇒ t = 2 hours
Total distance = 75t + 100t = (75 + 100) × 2 = 175 × 2 = 350 km