<PRE><B>Question 233210</B>
The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. 
A swimmer finishes a race in 400 seconds with an average speed of 3 feet per second. 
Find the average speed of the swimmer if it takes 300 seconds to finish the race.
:
you can use an inverted ratio equation: let s = speed of the faster swimmer
:
{{{400/300}}} = {{{s/3}}}
which is
{{{4/3}}} = {{{s/3}}}
cross mult
3s = 4*3
3s = 12
s = {{{12/3}}}
s = 4 ft/sec is the faster swimmers speed 
:
:
Prove that to yourself.
the dist for both should be the same: 
400 * 3 = 1200 ft
300 * 4 = 1200 ft
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