Question

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

Answer 1

B. x/4+x/6=1,1/2

Answer 2

The distance traveled equals the speed v multiplied by the time t

:

Since the speed varies, and we only know the total time, we must rewrite this as:

If we separate this in the two 'directions', it should add up to one and a half:

That would lead me to answer b

Explanation:

have a nice day :)