Problema Solution
Ms. Peters drove from her home to the park at an average speed of 30 miles per hour and returned home along the same route an average speed of 40 miles per hour. If her driving time from home to the park was 20 minutes, how many minutes did it take Ms. Peters to drive from the park to her home?
Answer provided by our tutors
let
v1 = 30 mph the average speed from home to the park
v2 = 40 mph the average speed from park to the home
t1 = 20 min = 20/60 hr = 1/3 hr the driving time from home to the park
t2 = the driving time from park to the home
d = the distance from home to the park
since speed = distance/time we have distance = speed*time thus
d = v1*t1
d = 30(1/3)
d = 10 mi
since also
d = v2*t2
40*t2 = 10
by solving we find:
t2 = 0.25 hr
t2 = 0.25*60 min
t2 = 15 min
click here to see the step by step solution of the equation:
i took 15 minutes for Ms. Peters to drive from the park to her home.