SOLUTION: At 9am, David left New Orleans for Tallahassee, averaging 47 mph. Two hours later, Gloria left Tallahassee for New Orleans along the same route, driving 5 mph faster than David.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: At 9am, David left New Orleans for Tallahassee, averaging 47 mph. Two hours later, Gloria left Tallahassee for New Orleans along the same route, driving 5 mph faster than David.       Log On

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Question 760025: At 9am, David left New Orleans for Tallahassee, averaging 47 mph. Two hours later, Gloria
left Tallahassee for New Orleans along the same route, driving 5 mph faster than David. If the
two cities are 391 miles apart, at what time did David and Gloria meet?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this problem with one of them,
say David, standing still and Gloria approaching
David at the sum of their speeds.
------------------
+47+%2B+47+%2B+5+=+99+ mi/hr = the sum of their speeds
------------------
For the 1st 2 hrs, the sum of their speeds is
+47+%2B+0+=+47+
+d%5B1%5D+=+47%2A2+
+d%5B1%5D+=+94+ mi
---------------
+391+-+94+=+297+
Now for 297 miles the sum of their speeds is +99+ mi/hr
+297+=+99%2At+
+t+=+3+ hrs
David left at 9 AM
Gloria left at 11 AM
3 hrs later they meet at 2 PM
-------------------------
check answer:
David's equation:
+d%5B2%5D+=+47%2A%28+2+%2B+3+%29+
+d%5B2%5D+=+235+ mi
Gloria's equation:
+d%5B3%5D+=+52%2A3+
+d%5B3%5D+=+156+
+d%5B2%5D+%2B+d%5B3%5D+=+235+%2B+156+
+d%5B2%5D+%2B+d%5B3%5D+=+391+
OK