Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/...
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 50 km more than the other. What is the distance between the two stations?
Answer/Solution
450 km
Steps/Work
Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 50 km more than the other,
25x – 20x =50
5x = 50
x = 10 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*10 = 450 km.
ANSWER: D
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 50 km more than the other,
25x – 20x =50
5x = 50
x = 10 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*10 = 450 km.
ANSWER: D