ram from his house walks to school,when he walks 4km/hr he reached school he reached 5 minutes late and if he walks at the rate of 5km/hr he reached school 1 minute early.What is the distance of school from his house?
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Lets assume the distance from Ram’s house to the school be X.
When Ram travels at 5 kmph he takes X/5 hours to reach his school.
When Ram travels at 4 kmph he takes X/4 hours to reach his school.
We know that the difference between the time taken with the first case (5 kmph) and the second case (4 kmph) is 10 minutes (5 minutes early v/s 5 minutes late).
10 minutes is 1/6 th of an hour.
Therefore, X/4 - X/5 = 1/6.
This can be rewritten as :
X/20 = 1/6 or X = 20/6 = 3.33 km.
Therefore the distance from Ram’s house to his school is 10/3 or 3.33 km .
When Ram travels at 5 kmph he takes X/5 hours to reach his school.
When Ram travels at 4 kmph he takes X/4 hours to reach his school.
We know that the difference between the time taken with the first case (5 kmph) and the second case (4 kmph) is 10 minutes (5 minutes early v/s 5 minutes late).
10 minutes is 1/6 th of an hour.
Therefore, X/4 - X/5 = 1/6.
This can be rewritten as :
X/20 = 1/6 or X = 20/6 = 3.33 km.
Therefore the distance from Ram’s house to his school is 10/3 or 3.33 km .
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