Two trains with lengths 126 m and 119 m respectively are moving towards each other.Their speeds are 12 m/s and 23 m/s, respectively. What will be the time needed by the trains to cross each other?35 seconds11 seconds210 seconds7 seconds
Question
Two trains with lengths 126 m and 119 m respectively are moving towards each other.Their speeds are 12 m/s and 23 m/s, respectively. What will be the time needed by the trains to cross each other?35 seconds11 seconds210 seconds7 seconds
Solution
To solve this problem, we first need to understand that when two trains (or any objects) are moving towards each other, their relative speed is the sum of their individual speeds.
Step 1: Calculate the relative speed of the two trains. The speed of the first train is 12 m/s and the speed of the second train is 23 m/s. So, their relative speed is 12 m/s + 23 m/s = 35 m/s.
Step 2: Calculate the total distance to be covered. The total distance to be covered is the sum of the lengths of the two trains, which is 126 m + 119 m = 245 m.
Step 3: Calculate the time needed to cross each other. The time needed for two objects to cross each other is the total distance to be covered divided by their relative speed. So, the time needed for the trains to cross each other is 245 m / 35 m/s = 7 seconds.
So, the trains will need 7 seconds to cross each other.
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