Answer:
a) Person B wins the race.
b) The difference in the finish times of the competitors is 110 s.
Step-by-step explanation:
a) We can find the time that takes Person A and B to finish the race:
Person A:
[tex] t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} [/tex]
Where:
[tex]t_{A}[/tex]: is the time of Person A = 15 s [/tex]
[tex]d_{A}[/tex]: is the distance of Person A = 1/10 miles [/tex]
[tex]d_{T}[/tex]: is the total distance = 5 miles [/tex]
[tex] t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s [/tex]
Person B:
[tex] t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s [/tex]
Hence, Person B wins the race.
b) The difference in the finish times is:
[tex] t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s [/tex]
Therefore, the difference in the finish times of the competitors is 110 s.
I hope it helps you!
