Two trains are moving towards each other with the speed of 25 km/hr and 83 km/hr respectively. What will be the distance (in metres) between the trains one second before collide?a)32b)35c)30d)40Correct answer is option 'C'. Can you explain this answer?

Question

Answer

When two trains are moving towards each other,

Their relative speed = 25 + 83 = 108 km/hr = 108 × 5/18 = 30 m/sec.

This means that the trains cover a distance of 30 m in 1 second

∴ The distance between the trains 1 second before collision is 30 m

Answer

To find the distance between the two trains one second before they collide, we need to consider the relative speed of the trains.

Given:
Speed of train 1 = 25 km/hr
Speed of train 2 = 83 km/hr

Converting the speeds into meters per second:
Speed of train 1 = 25 * (5/18) = 125/18 m/s
Speed of train 2 = 83 * (5/18) = 415/18 m/s

We know that the relative speed of two objects moving towards each other is calculated by adding their individual speeds. So, the relative speed of the two trains is:
Relative speed = (125/18) + (415/18) = 540/18 = 30 m/s

To find the distance between the two trains one second before they collide, we can use the formula:
Distance = Relative speed * Time

Given:
Time = 1 second
Relative speed = 30 m/s

Calculating the distance:
Distance = 30 * 1 = 30 meters

Therefore, the distance between the two trains one second before they collide is 30 meters. Hence, option C is the correct answer.

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