SOLUTION: re: inverse variation (y = k/x) problem: speed of bus inversely proportional to time (t) that it takes to travel fixed distance at 30 mph in 80 minuntes; how fast does bus need

Question 330209: re: inverse variation (y = k/x)
problem: speed of bus inversely proportional to time (t) that it takes to travel fixed distance at 30 mph in 80 minuntes; how fast does bus need to travel to cover same distance in 20 minutes.
If speed is inversely proportional to time, do I set speed = 1/time?
I am unclear on how to set up equation - thanks for help.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
speed = distance / time

the distance is ___ 30 mph times 4/3 hr (80 min) or 40 miles

30 mph = 40 mi / 80 min

x = 40 mi / 20 min

FYI: this is a REALLY fast bus
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