Question

Karen trains to participate in a race that is a combination of biking and running her average speeds during training can be used to predict her average speed during actual race Karen's total distance and times for 3 weeks of training are shown in the table below biking distance miles 75, time minutes 300.
Running 30 Miles running 240 minutes Karen predicts that she will spend 48 minutes biking and 24 minutes running and what is the total distance of the race

Answer 1

The total distance is 15 miles.

Biking 75 miles in 300 minutes gives us the ratio 75/300 = 1/4, or 1 mile per 4 minutes.

Running 30 miles in 240 minutes gives us the ratio 30/240 = 1/8, or 1 mile per 8 minutes.

If she bikes 48 minutes, 48(1/4) = 48/4 = 12 miles.
If she runs 24 minutes, 24(1/8) = 24/8 = 3 miles.

This is a total distance of 12+3= 15 miles.