Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?

Let the distance from home to the park be x

Going to the park

Distance=vt

x=14t¹ ——(1)

Going back home

x=10t² ——(2)

Total time=t¹+t²

2.5=t¹+t²

Solving equ. 1 and 2 simultaneously

10x=140t¹

14x=140t²

Adding

4x=140(t¹+t²)

24x=140(2.5)

x=14.58 miles

Total distance= 2x

= 29.16miles

Step-by-step explanation: