seth traveled 1 mile in 57.1 second how fast did he go in miles per hour
(1mile/57.1 sec) x (3,600 sec/hour) = 1 x 3600/57.1 = 63.05 mile/hour (rounded)
we know that
Seth traveled \(1\) mile in \(57.1\)second
step \(1\)
convert \(57.1\) second to hour
\(1\) hour is equal to \(3,600\sec\)
by proportion
\(\frac{1}{3,600} \frac{hour}{seconds} =\frac{x}{57.1} \frac{hours}{seconds}\\ \\3,600*x=57.1\\\\ x=\frac{57.1}{3,600} \ hours\)
step \(2\)
Find the speed in miles per hour
we know that
The speed is equal to
\(speed=\frac{distance}{time}\)
we have
\(distance= 1\ mile \\\\ time=\frac{57.1}{3,600} \ hours\)
\(speed= \frac{1}{\frac{57.1}{3,600}} \\\\ speed=\frac{3,600}{57.1}\)
\(speed= 63.05\frac{miles}{hour}\)
therefore
the answer is
The speed is equal to \(63.05\frac{miles}{hour}\)