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seth traveled 1 mile in 57.1 second how fast did he go in miles per hour

Sagot :

AL2006
(1mile/57.1 sec) x (3,600 sec/hour) = 1 x 3600/57.1 = 63.05 mile/hour (rounded)

we know that

Seth traveled [tex] 1 [/tex] mile in [tex] 57.1 [/tex]second

step [tex] 1 [/tex]

convert [tex] 57.1 [/tex] second to hour

[tex] 1 [/tex] hour is equal to [tex] 3,600\sec [/tex]

by proportion

[tex] \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 [/tex]

step [tex] 2 [/tex]

Find the speed in miles per hour

we know that

The speed is equal to

[tex] speed=\frac{distance}{time} [/tex]

we have

[tex] distance= 1\ mile \\\\ time=\frac{57.1}{3,600} \ hours [/tex]

[tex] speed= \frac{1}{\frac{57.1}{3,600}} \\\\ speed=\frac{3,600}{57.1} [/tex]

[tex] speed= 63.05\frac{miles}{hour} [/tex]

therefore

the answer is

The speed is equal to [tex] 63.05\frac{miles}{hour} [/tex]


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