Two trains start at the same time from Bangalore and Chennai and proceed towards each other at the speeds of 80 km/h and 95 km/h. When they meet, it is found that one train has travelled 180 km more than the other. The distance between Bangalore and Chennai is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2100 km.
Two trains start at the same time from Bangalore and Chennai
The speed of the train from Bangalore = 80 km/h
The speed of the train from Chennai = 95 km/h
At the point of meeting time 't', one train has travelled 180 km more than the other
The distance covered by the train from Bangalore = 80t
The distance covered by the train from Chennai = 95t
According to the question
⇒ 95t - 80t = 180
⇒ 15t = 180
⇒ t = 12 hours
Hence,
the total distance between Bangalore and Chennai = 95t + 80t = 175t = 175 × 12 = 2100 km