Consider statements A and B given below and decide whether they are enough to find the time needed for two trains to cross each other when they are travelling in opposite directions and one train is moving at a speed of 86 km/hr.Statement A – Trains are of equal length of 350mStatement B – Other train is moving with speed 83 km/hrOnly statement B is enoughAny one statement if given is enough to find the answerBoth statements together are needed to find the answerEven both statements together are not enough to find the answer
Question
Consider statements A and B given below and decide whether they are enough to find the time needed for two trains to cross each other when they are travelling in opposite directions and one train is moving at a speed of 86 km/hr.Statement A – Trains are of equal length of 350mStatement B – Other train is moving with speed 83 km/hrOnly statement B is enoughAny one statement if given is enough to find the answerBoth statements together are needed to find the answerEven both statements together are not enough to find the answer
Solution
Both statements together are needed to find the answer.
Here's why:
The time it takes for two trains to cross each other when moving in opposite directions is given by the formula:
Time = Total Distance / Relative Speed
The total distance is the sum of the lengths of the two trains. Since both trains are of equal length (350m each), the total distance is 700m.
The relative speed is the sum of the speeds of the two trains when they are moving in opposite directions. Given that one train is moving at 86 km/hr and the other at 83 km/hr, the relative speed is 169 km/hr.
However, we need to convert these speeds from km/hr to m/s to match the units of the distance. We do this by multiplying by 5/18. So, the relative speed in m/s is (169 * 5/18) = 46.94 m/s.
Now we can find the time:
Time = 700m / 46.94 m/s = 14.92 seconds
So, both statements A and B are needed to find the answer.
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