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 =\(\frac{distance}{speed} \\= \frac{x}{4}\)
likewise speed while returning to home is 6 mph
time taken on returning = \(\frac{distance}{speed} \\= \frac{x}{6}\)
total time = \(1\frac{1}{2}hours\)
\(\frac{x}{4} +\frac{x}{6} =\frac{3}{2}\)
\(\frac{3x+2x}{12}=\frac{3}{2}\)
\(\frac{5x}{12}=\frac{3}{2}\)
on solving ,we get
5x =18
x = 3.6 miles
