Question
Download Solution PDFTwo 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:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of train from P = 75 km/h
Speed of train from Q = 100 km/h
One train has travelled 50 km more than the other
Formula used:
Let the distance travelled by the train from P be x km
Then, the distance travelled by the train from Q = x + 50 km
Time taken to meet is the same for both trains
Time = Distance / Speed
Calculation:
Time taken by train from P = x / 75
Time taken by train from Q = (x + 50) / 100
Since the time taken is the same:
⇒ x / 75 = (x + 50) / 100
⇒ 100x = 75(x + 50)
⇒ 100x = 75x + 3750
⇒ 100x - 75x = 3750
⇒ 25x = 3750
⇒ x = 150
Total distance = Distance travelled by train from P + Distance travelled by train from Q
⇒ 150 + (150 + 50)
⇒ 150 + 200
⇒ 350 km
∴ The correct answer is option 2.
Last updated on Jun 3, 2025
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