A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is?
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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is?
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There is a train that passes two people who are walking in the same direction as the train. The first person walks at a speed of 2 kph, and the second person walks at a speed of 4kph. The train takes 9 seconds to pass the first person completely, and it took 10 seconds to pass the second person completely.
So now we want to know how to solve it
To solve this let's first make a given
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Given:
Person 1 speed = 2 kmph
Person 2 speed = 4 kmph
Time to pass Person 1 = 9 seconds
Time to pass Person 2 = 10 seconds
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Let's first imagine the length of the train is 'L' km and the speed of the train is 'v' kmph.
Let's find the length of the train (L):
In 9 seconds:
Distance covered by the train = Length of the train + Distance covered by Person 1 L + (2 kmph) × (9/3600) hours = L + (1/200) km
In 10 seconds:
Distance covered by the train = Length of the train + Distance covered by Person 2
L + (4 kmph) × (10/3600) hours = L + (1/900) km
Let's Simplifying the equations:
9L + 1/100 = 10L + 1/900
Rearranging the terms:
L = 80 meters
we finally found that the length of the train is → 80 meters.
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