Monica walks to the park each day. She walks 3km per hour to the park and 2km per hour back. If she takes 20 mins to and from the park, how far from the

Question

From the park does she live

Answer 1

Let x = time (in hours) it takes to walk to the park

 

Then, 1/3 - x = time (in hours) it takes to walk back to her starting point ( 20 min = 1/3 hr)

 

Distance = (Rate)(Time)

 

Distance to the park = Distance from the park

 

3x = 2(1/3 - x)

 

3x = 2/3 - 2x

 

5x = 2/3     x = 2/15 hr = 8 min

 

Distance = 3x = 3(2/15) = 6/15 = 2/5 km = 0.4 km