SOLUTION: Linda leaves Boise to travel the 2160 miles to Austin, driving a a speed of 55 mph. Mark leaves Austin driving the same 2160 mile route to Boise at 65 mph. How many miles will Mark

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Linda leaves Boise to travel the 2160 miles to Austin, driving a a speed of 55 mph. Mark leaves Austin driving the same 2160 mile route to Boise at 65 mph. How many miles will Mark      Log On

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Question 907960: Linda leaves Boise to travel the 2160 miles to Austin, driving a a speed of 55 mph. Mark leaves Austin driving the same 2160 mile route to Boise at 65 mph. How many miles will Mark have traveled when they meet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as
one of them standing still and
the other traveling at the sum of their speeds
---------------------------------
Let +t+ = The time in hrs until they meet
+2160+=+%28+55+%2B+65+%29%2At+
+t+=+2160+%2F+120+
+t+=+18+ hrs
-------------
Let +d%5B1%5D+ = distance Mark travels
+d%5B1%5D+=+65t+
+d%5B1%5D+=+65%2A18+
+d%5B1%5D+=+1170+
Mark travels 1170 mi
--------------------
check:
Linda travels:
+d%5B2%5D+=+55t+
+d%5B2%5D+=+55%2A18+
+d%5B2%5D+=+990+ mi
and
+d%5B1%5D+%2B+d%5B2%5D+=+1170+%2B+990+
+d%5B1%5D+%2B+d%5B2%5D+=+2160+
OK