SOLUTION: The Hopewells are moving across the country. Mr. Hopewell leaves 3.5 hours before Mrs. Hopewell. If he averages 40 mph and she averages 50 mph, how long wil it take Mrs. Hopewell

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Question 567474: The Hopewells are moving across the country. Mr. Hopewell leaves 3.5 hours before Mrs. Hopewell. If he averages 40 mph and she averages 50 mph, how long wil it take Mrs. Hopewell to overtake Mr. Hopewell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How much of a head start does Mr. H get in +3.5+ hrs ?
+d%5B1%5D+=+40%2A3.5+
+d%5B1%5D+=+140+
Start a stopwatch when Mrs. H leaves
They both will travel for the same time, +t+
Let +d+ = distance Mrs. H has to travel until they meet
Mrs. H's equation:
+d+=+50t+
Mr. Hl's equation:
+d+-+140+=+40t+
By substitution,
+50t+-+140+=+40t+
+10t+=+140+
+t+=+14+ hrs
It will take her 14 hrs to overtake him