SOLUTION: Eric traveled the last 180 miles of the trip at 45 miles per hour. The entire trip covered 380 miles and took 9 hours. What was his rate for the first 200 miles?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Eric traveled the last 180 miles of the trip at 45 miles per hour. The entire trip covered 380 miles and took 9 hours. What was his rate for the first 200 miles?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 353264: Eric traveled the last 180 miles of the trip at 45 miles per hour. The entire trip covered 380 miles and took 9 hours. What was his rate for the first 200 miles?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Eric traveled the last 180 miles of the trip at 45 miles per hour. The entire trip covered 380 miles and took 9 hours. What was his rate for the first 200 miles?
-----
1st part DATA:
distance = 200 miles ; rate = x mph ; time = 200/x hrs
---------------------------
2nd part DATA:
distance = 180 miles ; rate = 45 mph ; time = 180/45 = 4 hrs
-------------------------------------------------------------------
Equation:
time + time = 9 hrs
200/x + 4 = 9 hrs
200/x = 5
x = 200/5
x = 40 mph (rate for the 1st 200 miles)
====================
Cheers,
Stan H.