Answer:
(C) 5
Step-by-step explanation:
Let x represent number of hours.
We have been given that running on a 10-mile loop in the same direction, Sue ran at a constant rate of 8 miles per hour.
Distance covered by Sue in x hours would be [tex]8x[/tex] miles.
We are also told that Rob ran at a constant rate of 6 miles per hour, so distance covered by Rob in x hours would be [tex]6x[/tex] miles.
Since Sue needs to complete one more loop than Rob, so difference of distances covered by Sue and Rob's in x hours should be equal to 10 miles.
We can represent this information in an equation as:
[tex]8x-6x=10[/tex]
[tex]2x=10[/tex]
[tex]\frac{2x}{2}=\frac{10}{2}[/tex]
[tex]x=5[/tex]
Therefore, 5 hours later Sue will complete exactly 1 more lap than Rob and option C is the correct choice.
