SOLUTION: Tom walks at 4 km/h and runs at 6 km/h. He can save {{{ 15/4 }}} minutes by running from his house to the station instead of walking. How many kilometres is it from his house to th

Question 952080: Tom walks at 4 km/h and runs at 6 km/h. He can save minutes by running from his house to the station instead of walking. How many kilometres is it from his house to the station?
Please show working.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let t be the time it takes Tom to walk to the station, then
4*t = d, where d is the distance to the station and
6*(t - ((15/4) * (1/60)))
therefore
4*t = 6*(t - (15/240)
4*t = (6*t) - (6*(3/48))
4*t = (6*t) - (18/48))
2*t = 3/8
t = 3/16 of an hour
4*(3/16) = 3/4 km = .75 km
distance = .75 km

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