Question

4.) gene spent ten minutes riding his bicycle to a friend's house. he left his bike there and, with his friend, walked for 15 min to the gym. Gene rides his bicycle 10km/h faster than he walks. if the entire trip covered a distance of 2.75 km, how far is it from his friends house to the gym??

Answer 1

lets put the rate of the walking as say \(r\) to the rate of biking is \(r+10\)
now we can use distance equals rate times time
\[10(r+10)+15r=2.75\] solve for \(r\)