SOLUTION: two cars are traveling toward each other on the same highway. One car is traveling at 65 miles per hour and the other at 60 miles per hour. if the two cars are 200 miles apart, how

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cars are traveling toward each other on the same highway. One car is traveling at 65 miles per hour and the other at 60 miles per hour. if the two cars are 200 miles apart, how      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 894261: two cars are traveling toward each other on the same highway. One car is traveling at 65 miles per hour and the other at 60 miles per hour. if the two cars are 200 miles apart, how long will be until they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of 1 car as moving at the sum of
their speeds and the other car as standing still.
+d+=+r%2At+
+200+=+%28+65+%2B+60+%29%2At+
+200+=+125t+
+t+=+1.6+ hrs
Convert +.6+ hrs to minutes
+.6%2A60+=+36+ min
They will meet in 1 hr 36 min
-----------------------------
check:
Faster car:
+d%5B1%5D+=+65t+
+d%5B1%5D+=+65%2A1.6+
+d%5B1%5D+=+104+ mi
------------------
Slower car:
+d%5B2%5D+=+60t+
+d%5B2%5D+=+60%2A1.6+
+d%5B2%5D+=+96+
---------------
+d%5B1%5D+%2B+d%5B2%5D+=+104+%2B+96+
+d%5B1%5D+%2B+d%5B2%5D+=+200+ mi
OK