Problema Solution
Jessica drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Jessica drove home,there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Jessica live from the mountains?
Answer provided by our tutors
let
v = Jessica's speed to the mountains
v + 40 = Jessica's speed back home
t1 = 9 hr the time of the travel to the mountains
t2 = 4 hr the time of the travel back
since distance = speed*time we have
v*t1 = (v + 40)*t2
9v = 4(v + 40)
by solving we find:
v = 32 mph
click here to see the step by step solution of the equation:
the distance = speed*time = 32*9 = 288 mi.
Jessica lives 288 miles away from the mountains.