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 hours, which equation can be used to find x, the distance from Juan’s house to the park?

Respuesta :

Answer:

x = 3.6 miles is the distance from home to park.

Step-by-step explanation:

Let the distance  be x

since speed for going to park is 4 mph

time taken =[tex]\frac{distance}{speed} \\= \frac{x}{4}[/tex]

likewise speed while  returning to home  is 6 mph

time taken on returning = [tex]\frac{distance}{speed} \\= \frac{x}{6}[/tex]

total time = [tex]1\frac{1}{2}hours[/tex]

 [tex]\frac{x}{4} +\frac{x}{6} =\frac{3}{2}[/tex]

[tex]\frac{3x+2x}{12}=\frac{3}{2}[/tex]

[tex]\frac{5x}{12}=\frac{3}{2}[/tex]

on solving ,we get

5x =18

x = 3.6 miles

Answer:

its b

Step-by-step explanation:

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