Two trains start at the same time from Vijayawada and Calcutta and proceed towards each other at speeds of 24 km/h and 42 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. The distance between the two stations is: (Consider up to two decimals.)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 513.33 km
Given that:
Speed of first train = 24 lm/h
Speed of second train = 42 km/h
Formula used:
Distance = Relative speed × time
The relative speed of the trains when they travel in opposite directions = Sum pf the speeds of the two trains
Explanation:
According to the given question
Relative spedd of two trains = Speed of first train + Speed of second train
⇒ 24 + 42 = 66 km/h
When they meet, it is found that one train has travelled 140 km more than the other.
If time is constant, then
The ratio of speed to the ratio of distance is 42 : 24.
The ratio of the distance is 7 : 4
According to the question
⇒ 7 units - 4 units = 140
⇒ 3 units = 140
⇒ 1 unit =
Hence, the total distance = (7 + 4) × 140/3
⇒ 140 × 11/3
⇒ 1540/3 = 513.33 km