Speed is the rate of change of distance over time
It will take the object 28 minutes to travel a distance of [tex]\mathbf{4 \frac 45 miles}[/tex]
The given parameters are:
[tex]\mathbf{Speed = 10 \frac 15 mi/h}[/tex]
[tex]\mathbf{Distance = 4 \frac 45 mi}[/tex]
The speed of an object is:
[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]
Make Time the subject
[tex]\mathbf{Time= \frac{Distance}{Speed }}[/tex]
Substitute known values
[tex]\mathbf{Time = 4 \frac 45 mi \div 10\frac 15 mi/h}[/tex]
Cancel out the units
[tex]\mathbf{Time = 4 \frac 45 \div 10\frac 15 \ h}[/tex]
Convert fractions
[tex]\mathbf{Time = \frac {24}5 \div \frac{51}5 \ h}[/tex]
Express as multiplication
[tex]\mathbf{Time = \frac {24}5 \times \frac{5}{51} \ h}[/tex]
[tex]\mathbf{Time = \frac {24}{51} \ h}[/tex]
Convert to minutes
[tex]\mathbf{Time = \frac {24}{51} \times 60\ min}[/tex]
[tex]\mathbf{Time = \frac {1440}{51} \ min}[/tex]
[tex]\mathbf{Time = 28 min}[/tex]
Hence, it will take the object 28 minutes
Read more about speed, distance and time at:
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