Two trains are running in opposite direction with the same speed. If the length of each train is 165 meters and they cross each other in 33 seconds, then what is the speed of each train ?
Question
Two trains are running in opposite direction with the same speed. If the length of each train is 165 meters and they cross each other in 33 seconds, then what is the speed of each train ?
Solution
Sure, here is the step by step solution:
Step 1: Understand the problem Two trains of equal length are running in opposite directions and cross each other in a certain amount of time. We need to find the speed of each train.
Step 2: Use the formula for speed Speed = Distance / Time
Step 3: Calculate the total distance The total distance that the trains cover when they cross each other is the sum of their lengths. Since the trains are of equal length, the total distance = 2 * length of one train = 2 * 165 meters = 330 meters.
Step 4: Calculate the time The time taken to cross each other is given as 33 seconds.
Step 5: Substitute the values into the speed formula Speed = 330 meters / 33 seconds = 10 meters/second.
Step 6: Convert the speed to km/h 1 meter/second = 3.6 km/h So, the speed of each train = 10 * 3.6 = 36 km/h.
Therefore, the speed of each train is 36 km/h.
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