SOLUTION: The Runaway bride had a 125 mile head start and is traveling at a constant speed of 65 miles per hour. The ex groom is chasing her at 80 miles per hour. How long will it take him t

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Question 897951: The Runaway bride had a 125 mile head start and is traveling at a constant speed of 65 miles per hour. The ex groom is chasing her at 80 miles per hour. How long will it take him to catch the bride?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Start a stopwatch when the groom leaves
Let +d+ = the distance in miles he
has to travel to catch bride
Let +t+ = his time in hours to catch bride
---------------------------------------
Bride's equation:
+d+-+125+=+65t+
Groom's equation:
+d+=+80t+
--------------
By substitution:
+80t+-+125+=+65t+
+15t+=+125+
+t+=+8.333+ hrs
+.333%2A60+=+20+ min
He will catch her in 8 hrs 20 min
----------
check:
+d+=+80t+
+d+=+80%2A8.333+
+d+=+666.666+
and
+d+-+125+=+65t+
+d+=+65t+%2B+125+
+d+=+65%2A8.333+%2B+125+
+d+=+541.6645+%2B+125+
+d+=+666.6645+
close enough