To solve this problem, we need to analyze the situation and use the given information to find a solution. Here's a step-by-step breakdown of how to solve it:
Step 1: Understand the Problem
Read the problem carefully and identify the key information provided. In this case, we have two people walking in opposite directions parallel to the rails, with one person walking 30m and the other person walking 40m.
Step 2: Draw a Diagram
Visualize the scenario by drawing a diagram. You can draw two people standing back to back next to the rails and mark the distances they've walked.
Step 3: Identify Variables
Assign variables to the unknowns in the problem. In this case, let's consider the length of the train as our unknown. You can use the variable "x" to represent the length of the train.
Step 4: Analyze the Situation
Consider the time it takes for each person to walk their respective distances. Since both people start and stop walking at the same time, we can assume that they walk for the same amount of time.
Step 5: Use Speed = Distance/Time
Since the speed of both people is constant, we can use the formula Speed = Distance/Time. We can set up two equations using this formula:
Person 1: Speed = Distance/Time = 30m/T
Person 2: Speed = Distance/Time = 40m/T
Since they walk for the same amount of time, we can set the two equations equal to each other:
30m/T = 40m/T
Step 6: Solve for Time
Cross-multiply the equation to solve for the time:
30m * T = 40m * T
Simplifying the equation gives us:
30m = 40m
Dividing both sides by 10 gives us:
3 = 4
Step 7: Consider the Contradiction
Since the equation 3 = 4 is a contradiction, it means that there is no solution for time. However, the contradiction comes from assuming that the train is finite in length.
Step 8: Determine the Length of the Train
Since there is no solution for time, it implies that the train must be infinitely long. However, this is not realistic. So, we can conclude that the train's length is not infinite, but rather, it must have a finite length.
Step 9: Final Answer
Since the train cannot be infinitely long, the only logical answer is that the train's length is equal to the combined distances walked by the two people. Therefore, the length of the train is 30m + 40m = 70m.