Question

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? How much sooner will the faster jogger finish a five-kilometer race?​

Answer 1

your friend jogs faster

Explanation:

Answer 2

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 :

`Speed=(Distance)/(Time)`

`\text{Speed of person }1=(Distance)/(Time)=(2km)/(12min)=0.167km/min`

and,

`\text{Speed of person }2=(Distance)/(Time)=(3km)/(16.5min)=0.182km/min`

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

`Speed=(Distance)/(Time)`

`0.182km/min=(5km)/(Time)`

`Time=27.5min`

Thus, the time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.