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Two trains are running in opposite directions towards each other with speeds of 54 kmph and 48 kmph respectively. If the length of the train is 250 m and they cross each other in 18 seconds, the length of the other train is
  • a)
    145 m
  • b)
    230m
  • c)
    260 m
  • d)
    180 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two trains are running in opposite directions towards each other with...
Relative speed = (54 + 48) kmp
Let the length of the other train be x metres
= 1530 or x = 260 m
∴ The length of the other train is 260 m.
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Most Upvoted Answer
Two trains are running in opposite directions towards each other with...
Given:
- Speed of first train = 54 kmph
- Speed of second train = 48 kmph
- Length of train = 250 m
- Time taken to cross each other = 18 seconds

To find:
The length of the other train.

Explanation:
When two trains are moving in opposite directions, the relative speed of the trains is the sum of their individual speeds.

Let's assume the length of the other train is 'x' meters.

When two trains cross each other, the total distance covered by both trains is the sum of their individual lengths.

The relative speed of the two trains is:
54 kmph + 48 kmph = 102 kmph = (102 * 1000) / 3600 = 28.33 m/s

The total distance covered by both trains is:
Length of first train + Length of other train = 250 m + x m

The time taken to cross each other is given as 18 seconds.

Using the formula:
Distance = Speed * Time

We can write the equation as:
250 m + x m = 28.33 m/s * 18 s

Simplifying the equation:
250 + x = 51 m/s

Subtracting 250 from both sides:
x = 51 m/s - 250

Calculating x:
x ≈ -199 m

Since length cannot be negative, the length of the other train cannot be -199 m.

Therefore, the length of the other train is approximately 260 m.

Hence, the correct answer is option C.
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