Question

Last week Talia walked, ran, and biked for a total of 7 hours. The number of miles she biked was two times the number of miles she walked. She walked 2 miles per hour, ran 6 miles per hour, and biked 10 miles per hour, traveling a total of 50 miles. How many hours did Talia run this week?

Answer 1

W- Walking R - Running and B - Biking
\[2W+6R+10B=50 \]W+R+B=7
\[B=2W \]
\[3W+R=7 \]
\[R=7-3W \]
\[2W+6(7-3W)+10(2W)=50 \]
\[2W+42-18W+20W=50 \]
\[ 4W=8 \]
\[W=2 \]
\[B=2*2=4 \]
\[R=7-6=1 \]