SOLUTION: The distance between David's home and Alex's home is 19km. Both David and Alex head towards each others home at 9:00 am. David is walking at the speed of 5kmph where Alex's speed i

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The distance between David's home and Alex's home is 19km. Both David and Alex head towards each others home at 9:00 am. David is walking at the speed of 5kmph where Alex's speed i      Log On

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Question 662409: The distance between David's home and Alex's home is 19km. Both David and Alex head towards each others home at 9:00 am. David is walking at the speed of 5kmph where Alex's speed is 8kmph. At what distance from their house they will meet each other?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of one of them ( either one )
as standing still and the other approaching
at the sum of their speeds.
Let +t+ = elapsed time in hrs until they meet
+19+=+%28+5+%2B+8+%29%2At+
+19+=+13t+
+t+=+19%2F13+ hrs
----------------------
David's equation:
+d+=+5%2A%2819%2F13%29+
+d+=+95%2F13+
------------------
Alex's equation:
+d+=+8%2A%2819%2F13%29+
+d+=+152%2F13+
------------------
David is 95/13 km from his home
Alex is 152/13 km from his home
check:
+%2813%2F13%29%2A19+=+247%2F13+
+95%2F13+%2B+152%2F13+=+247%2F13+
OK