Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minute. If the length of the first train is 125 metres, the length of second train is _______.Choices:- 124m 175m 143m 155m
Question
Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minute. If the length of the first train is 125 metres, the length of second train is _______.Choices:- 124m 175m 143m 155m
Solution
To find the length of the second train, we can use the concept of relative speed.
The relative speed of the two trains is the sum of their individual speeds. In this case, the relative speed is 40 kmph + 22 kmph = 62 kmph.
We know that the two trains completely pass each other in 1 minute, which is equivalent to 1/60 hours.
To find the distance traveled by the two trains, we can use the formula: distance = speed × time.
So, the distance traveled by the two trains is 62 kmph × 1/60 hours = 62/60 km.
Now, we need to convert this distance from kilometers to meters. Since 1 kilometer is equal to 1000 meters, the distance traveled by the two trains is (62/60) × 1000 meters.
The length of the first train is given as 125 meters.
To find the length of the second train, we subtract the length of the first train from the total distance traveled by the two trains:
Length of second train = (62/60) × 1000 meters - 125 meters.
Calculating this, we get:
Length of second train = 103.33 meters.
Since the given choices are in whole numbers, the closest option to 103.33 meters is 104 meters. Therefore, the length of the second train is approximately 104 meters.
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