Two trains start at the same time from two stations and proceed towards each other at the speed of 20 km/hr. and 25 km/hr respectively. When they meet, it is found that one train has travelled 80 km more than the other. Find the distance between the two stations.Marks : 2Negative Marks : 0Answer here720 km740 km760 km780 km
Question
Two trains start at the same time from two stations and proceed towards each other at the speed of 20 km/hr. and 25 km/hr respectively. When they meet, it is found that one train has travelled 80 km more than the other. Find the distance between the two stations.Marks : 2Negative Marks : 0Answer here720 km740 km760 km780 km
Solution
Let's solve this step by step:
Step 1: Let's assume the time taken until the two trains meet is 't' hours.
Step 2: In this time, the first train travels 20t km and the second train travels 25t km.
Step 3: According to the problem, one train has travelled 80 km more than the other. So, we can write the equation as 25t = 20t + 80.
Step 4: Solving this equation, we get t = 16 hours.
Step 5: The total distance between the two stations is the sum of the distances travelled by both trains, which is 20t + 25t = 45t.
Step 6: Substituting t = 16 into the equation, we get the total distance as 45 * 16 = 720 km.
So, the distance between the two stations is 720 km.
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