Question

Karin 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 speeds during the actual race. Karin's total distances and times for 3 weeks of training are shown in the table below.
Activity-------------Distant ------------------ Times
 ----------------------(miles) ------------------ (minutes)
Biking -----------------75---------------------- 300
Running---------------30---------------------- 240
Karin predicts that she will spend 48 minutes biking and 24 minutes running. What is the total distance of the race? A. 14 miles B. 15 miles C.16 miles D. 22 miles

Answer 1

48 divided by 24 = 2

So divided each side gives you 2 for both sides.

So 22.

D. Is your answer :)

Answer 2

So this is a ratio

for biking, she goes 75 miles per 300 minutes, to solve for the ratio, make as fraction
miles per minute=75/300=1/4, 1 mile every 4 minutes for biking

running is 30 miles per 240 minutes, convert to fracion
30/240=3/24=1/8 1 mile every 8 minutes


so if she will spend 48 minutes biking then
every 4 minutes she goes 1 mile so divide 48 by 4 and get 48/4=12, she will go 12 miles in biking

if she spends 24 minutes runnning and 8 minutes per mile then 24/8=3 3 miles is the course

the course is 12 miles of biking 3 miles of running or 12+3=15 miles

the answer is B