SOLUTION: 1. You live in Pennsylvania and your grandparents live in Ohio. When you are in Pennsylvania, you drive an average rate of 55 mph. When you are in Ohio, you drive an average rate o

Question 72574This question is from textbook
: 1. You live in Pennsylvania and your grandparents live in Ohio. When you are in Pennsylvania, you drive an average rate of 55 mph. When you are in Ohio, you drive an average rate of 65 mph. The entire trip of 295 miles takes 5 hours. How long does it take to reach Pennsylvania-Ohio border? How long does it take to get from the border to your grandparents' house? This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You live in Pennsylvania and your grandparents live in Ohio. When you are in Pennsylvania, you drive an average rate of 55 mph. When you are in Ohio, you drive an average rate of 65 mph. The entire trip of 295 miles takes 5 hours. How long does it take to reach Pennsylvania-Ohio border? How long does it take to get from the border to your grandparents' house?
:
Let t = time at 65 mph (Ohio part)
Let (5 - t) = time at 55 mph (Penn part)
:
Dist = time * speed:
:
65t + 55(5-t) = 295
65t + 275 - 55t = 295
65t - 55t = 295 - 275
10t = 20
t = 2 hrs at 65 mph, obviously 3 hrs at 55 mph then
:
Check using distance
2(65) + 3(55) =
130 + 165 = 295 mi total
RELATED QUESTIONS
You live in Pennsylvania and your grandparents live in Ohio. When you are in... (answered by Paul)

The question is: You live in Pennsylvania and your grandparents live in Ohio. When you... (answered by Paul)

you are going to visit your who live 500km away.as you drive in the freeway your speed is (answered by ankor@dixie-net.com)

Hello Can someone show me an example of how to figure out the central angle, I work most... (answered by Alan3354)

Hi Below are the home states of 21 college professors. New Jersey Ohio (answered by jim_thompson5910)

Below are the home states of 21 college professors. New Jersey Ohio Michigan South... (answered by jim_thompson5910)

Below are the home states of 17 college professors. Ohio Georgia... (answered by killer6678)

Below are the home states of 19 college professors. New Jersey Ohio Michigan Georgia... (answered by solver91311)

In Pennsylvania, the state income tax is directly proportional to gross income.... (answered by Earlsdon)