Answer: The rate of speed Morris is traveling is [tex]47\frac{21}{22}[/tex] miles per hour, [tex]247920[/tex] feet per hour, [tex]4132[/tex] feet per minute, or, [tex]68\frac{13}{15}[/tex] feet per second.
Step-by-step explanation:
1) In order to make sure you have an accurate equation, you need to convert the time to the same length. There are [tex]60[/tex] seconds in a minute, and [tex]60[/tex] minutes in an hour, meaning that we need to multiply [tex]3[/tex] by [tex]3600[/tex] to get the actual time difference, giving us [tex]3*3600=10800[/tex]. This means that Morris is travelling [tex]1080[/tex] feet an hour less than Aneesha.
2) Now we must attempt to convert the feet into miles, and if we can't do that, give feet, or both just in case. In order to convert feet into miles we need the total amount of feet in a mile, which is given, [tex]5280[/tex] feet. Now we divide [tex]10800[/tex] by [tex]5280[/tex] feet. This gives us, [tex]\frac{10800}{5280} =\frac{45}{22}=2\frac{1}{22}[/tex], which is a fraction, not a whole number, but might still work.
3) The answer may not be what is wanted, and could instead be the feet. in order to do this we observe that [tex]3[/tex] feet per second is less than a mile per hour. So now all we have to do is multiply [tex]5280[/tex] by [tex]49[/tex]. This gives us [tex]5280*49=258720[/tex], and subtract [tex]10800[/tex] feet, giving us [tex]258720-10800=247920[/tex].
4) Now we convert this back into feet per second, giving us [tex]\frac{247920}{3600}=68\frac{13}{15}[/tex], another unpleasant fraction! The last shot is feet per minute. We now get the equation [tex]\frac{247920}{60}=4132[/tex]. We could also go further and try for fractions of the miles, but I've done this and none of these are even. I don't know what unit they want so I will list feet per second, minute, hour, and mph.
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