SOLUTION: Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island off the coast of Massachusetts. Two hours later, a t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island off the coast of Massachusetts. Two hours later, a t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 923361: Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island off the coast of Massachusetts. Two hours later, a tour boat leaves the same dock and travels at an average speed of 18 mph toward the same island. How many hours after the tour boat leaves will Michael's boat be alongside the tour boat?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Michael's head start is:
+d%5B1%5D+=+9%2A2+
+d%5B1%5D+=+18+ mi
-----------------
Start a stopwatch when the tour
boat leaves the dock
Let +t+ = time in hrs on stopwatch
when boats meet
Let +d+ = distance in mi from
dock to Isles of Shoals
-----------------
Michael's equation:
(1) +d+-+18+=+9t+
tour boat's equation:
(2) +d+=+18t+
-----------------
By substitution:
(1) +18t+-+18+=+9t+
(1) +9t+=+18+
(1) +t+=+2+ hrs
-----------------
The boats will meet in 2 hrs
check:
(1) +d+-+18+=+9t+
(1) +d+-+18+=+9%2A2+
(1) +d+=+36+
and
(2) +d+=+18t+
(2) +d+=+18%2A2+
(2) +d+=+36+
OK