Question

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?

Answer 1

15 miles into the country

Answer 2

bike time + walk time = 6.5 hours
time=distance/speed
(d/10)+(d/3)=6.5
3d+10d=195
d=195/13
d=15 miles into the country