I walk at the rate of 4 km per hour I miss the train by 10 minutes if I walk at the rate of 5 km per hour I reach 5 minutes before the arrival of the train how far is the station from my house assuming that I start working from my house
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Answer:
5 km
Step-by-step explanation:
Let, station be distance D km from your house
and let train arrives in time T minutes
equating the distance
D => 5*(T-5) = 4*(10+T)
=> 5T - 25 = 40 + 4T
=> T = 25 +40 = 65 minutes
=> D = (5/60)*(65 - 5) = 5 km
(please note, speed is divided by 60 to convert it into km/min)
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