Select the correct answerTwo trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other train find the speed of the faster train.Options60 km/hr30 km/h56 km/hnone
Question
Select the correct answerTwo trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other train find the speed of the faster train.Options60 km/hr30 km/h56 km/hnone
Solution
To solve this problem, we first need to understand that when two trains cross each other, the distance covered is the sum of their lengths. Here, each train is 100 m long, so the total distance is 200 m.
The problem states that they cross each other in 8 seconds. So, we can find the relative speed by dividing the total distance by the time taken.
Relative speed = Total distance / Time = 200 m / 8 s = 25 m/s.
Now, we know that the speed of one train is twice the speed of the other. Let's denote the speed of the slower train as 'x'. Therefore, the speed of the faster train is '2x'.
The relative speed is the sum of their speeds because they are moving in opposite directions. So, we have:
x + 2x = 25 m/s 3x = 25 m/s x = 25/3 m/s
So, the speed of the faster train is 2x = 2 * (25/3) m/s = 50/3 m/s.
To convert this speed from m/s to km/hr, we multiply by 18/5.
Speed of faster train = 50/3 * 18/5 = 60 km/hr.
So, the correct answer is 60 km/hr.
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