SOLUTION: Jerry spent 2.5 hours biking up Mount Lowe, rested at the top for 30 minutes, and biked down in 1.5 hours. How far did he bike if his rate of ascent was 3 km/h less than his rate o

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Question 1135334: Jerry spent 2.5 hours biking up Mount Lowe, rested at the top for 30 minutes, and biked down in 1.5 hours. How far did he bike if his rate of ascent was 3 km/h less than his rate of descent?
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Speed going up is x km/h or 2.5x km distance
speed going down is (x+3) km/h or 1.5(x+3) or 1.5x+4.5 km
Those distances are equal
so 2.5x=1.5x+4.5
or x=4.5 km/h
It was 11.25 km up (2.5 x)
and 11.25 km down (1.5*7.5)
He biked the sum or 22.5 km.