SOLUTION: At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour. At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant spee

Question 559581: At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour. At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour. If it is a 305-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other?
I'm having trouble with this because of the different times that the vehicles left. Thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour.
At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour.
If it is a 305-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other?
:
Let t = travel time of the truck that leaves at 2 PM
then
(t+1) = travel time of the car which left at 1 PM
:
When the two meet, the distance each traveled will add up to 305 mi
:
Write a distance equation, dist = speed * time
car dist + truck dist = 305 mile
65(t+1) + 55t = 305
65t + 65 + 55t = 305
65t + 55t = 305 - 65
120t = 240
t = 240/120
t = 2 hrs, is the travel time of the truck which left at 2 PM
therefore
2 PM + 2 hrs = 4 PM they will meet
:
:
We can prove this
Car travel time = 3 hrs
3*65 = 195
2*55 = 110
-----------
total: 305
RELATED QUESTIONS
At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65... (answered by ankor@dixie-net.com)

At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 mph. (answered by josgarithmetic)

A cyclist travels north along a road at a constant speed of 18 miles per hour. At 1:00... (answered by ikleyn)

A winter storm is traveling at a constant rate of 50 miles per hour. The storm is over... (answered by richwmiller)

At 10:00 AM, a snowstorm is 250 miles west of St. Louis. The storm travels 150 miles... (answered by Mathtut)

A tour bus normally leaves for its destination at 5:00 p.m. for a 300 mile trip. This... (answered by ikleyn,ewatrrr)

The temperature recorded in a certain region at 7:00 a.m. it was -4°C, at 9:00 a.m. rose (answered by MathLover1,ikleyn)

At 1 PM a car leaves St L. for Chicago traveling at 65 mph. At 2 PM a truck leaves... (answered by rwm)

A car leaves town A at 1:00 pm traveling at 45 miles per hour. A second car leaves town A (answered by oscargut)