A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. At that rate, how long will it take her to run the whole race?

time = 70 minutes

Step-by-step explanation:

According to the question the whole race is 10 kilometer. It takes her 17. 5 minutes to cover a distance of 2.5 km.

The rate the runner used to cover the distance of 2.5 km can be computed as follows:

rate = distance / time

distance = 2.5 km

time = 17.5 minutes

rate = 2.5/17.5

rate = 0.14285714285 kilometer/minutes

rate = 0.14285714285 km/min

Use the rate to calculate for the time the runner used for the whole distance of 10 km

rate = distance/time

rate = 0.14285714285 km/min

distance = 10 km

rate = distance/time

cross multiply

time = distance/rate

time = 10/0.14285714285

time = 70 minutes

time = 70 minutes

At her current rate it will take here 70 minutes to finish the race