Respuesta :
Answer :
Person 2 jogs faster as compared to person 1.
The time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.
Step-by-step explanation :
First we have to calculate the speed of person 1 and 2.
Formula used :
[tex]Speed=\frac{Distance}{Time}[/tex]
[tex]\text{Speed of person }1=\frac{Distance}{Time}=\frac{2km}{12min}=0.167km/min[/tex]
and,
[tex]\text{Speed of person }2=\frac{Distance}{Time}=\frac{3km}{16.5min}=0.182km/min[/tex]
From this we conclude that, person 2 jogs faster as compared to person 1.
Now we have to calculate the time taken by the faster jogger finish a five-kilometer race.
Faster jogger speed = 0.182 km/min
Distance = 5 km
[tex]Speed=\frac{Distance}{Time}[/tex]
[tex]0.182km/min=\frac{5km}{Time}[/tex]
[tex]Time=27.5min[/tex]
Thus, the time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.
