<PRE><B>Question 994699</B>
bicycle rate is x mph
scooter rate is 2x+5 mph
2x+5 mph * y hours=16 mi.
y=16/(2x+5)
also
x mph * y hours=7 miles
y=7/x.
So, (16/(2x+5))=(7/x)
cross multiply
16x=7(2x+5)
16x=14x+35
2x=35
x=17.5 mph bicycle
2x+5=40 mph scooter
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scooter travels 16 miles at 40 mph, that is 0.4 hours or 24 minutes.
bicycle travels 7 miles at 17.5 mph, that is 7/17.5 hours, and that is 0.4 hours or 24 minutes.</PRE>