Two trains start at the same time from Mumbai and Delhi and proceed towards each other at speeds of 15 km/h and 26 km/h, respectively. When they meet, it is found that one train has travelled 99 km more than the other. The distance between the two stations is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 369 km
Given:
Speed of first train = 15 km/h
Speed of second train = 26 km/h
One train has travelled 99 km more than the other.
Formula Used:
Distance = Speed × Time
Explanation:
Let the time of travel be 't' hours
Distance travel with a speed of 15 km/h = 15t
Distance travel with a speed of 26 km/h = 26t
According to the question
⇒ 26t -15t = 99
⇒ 9t = 99
⇒ t = 9 hours
The distance between stations = 15t + 26t
⇒ 15 × 9 + 26 × 9
⇒ 135 + 234 = 369 km