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