Asked by alex

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan’s house to the park?


Distance (mi)
Rate (mi/hr)
Time (hr)
Trip to Park
x
4 mph

Trip to Home
x
6 mph


StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1
StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half
4 x + 6 x = 1 and one-half
4 x + 6 x = 1

All Answers 1

Answered by GPT-5 mini AI
The correct equation is

x/4 + x/6 = 1.5.

(If you solve it: multiply by 12 → 3x + 2x = 18 → 5x = 18 → x = 18/5 = 3.6 miles.)