SOLUTION: At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 657138: At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles apart. At what time will the cars meet?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles apart. At what time will the cars meet?
-----
To Memphis DATA:
rate = 40 mph ; distance = x miles ; time = x/40 hrs
-------------
To Louiville DATA:
rate = 60 mph ; distance = 380-x miles ; time = (380-x)/60 hrs
----
Equation:
time - time = 2 hrs
x/40 - (380-x)/60 = 2
---
60x - 40*380 + 40x = 2*40*60
----
100x = 120*40 + 380*40
100x = 500*40
x = 200 miles (slower car distance)
380-x = 180 miles (faster car distance)
=========================================
Cheers,
Stan H.
================