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Select the correct answerThe length of two trains are 450 m and 620 m respectively and speed of the trains are 72 kmph and 90 kmph respectively. Find the difference in the time taken by the trains to cross each other moving in the same direction and opposite direction.radio_button_unchecked23.78 secradio_button_unchecked214 secradio_button_unchecked190.22 secradio_button_unchecked237.78 sec

Question

Select the correct answerThe length of two trains are 450 m and 620 m respectively and speed of the trains are 72 kmph and 90 kmph respectively. Find the difference in the time taken by the trains to cross each other moving in the same direction and opposite direction.radio_button_unchecked23.78 secradio_button_unchecked214 secradio_button_unchecked190.22 secradio_button_unchecked237.78 sec

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Solution

To solve this problem, we first need to convert the speeds from km/h to m/s by multiplying by 5/18.

For the train with a speed of 72 km/h, the speed in m/s is 72 * (5/18) = 20 m/s. For the train with a speed of 90 km/h, the speed in m/s is 90 * (5/18) = 25 m/s.

Next, we calculate the time taken by the trains to cross each other when moving in the same direction and in the opposite direction.

When the trains are moving in the same direction, their relative speed is the difference of their speeds, which is 25 m/s - 20 m/s = 5 m/s. The total length of the two trains is 450 m + 620 m = 1070 m. So, the time taken to cross each other is the total length divided by the relative speed, which is 1070 m / 5 m/s = 214 seconds.

When the trains are moving in the opposite direction, their relative speed is the sum of their speeds, which is 25 m/s + 20 m/s = 45 m/s. The time taken to cross each other is again the total length divided by the relative speed, which is 1070 m / 45 m/s = 23.78 seconds.

Finally, the difference in the time taken by the trains to cross each other moving in the same direction and opposite direction is 214 seconds - 23.78 seconds = 190.22 seconds.

So, the correct answer is 190.22 sec.

This problem has been solved

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