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 ->  Rate-of-work-word-problems -> 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


   

Question 1166094:  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 27 mph toward the same island. How many hours after the tour boat leaves will Michael's boat be alongside the tour boat?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The small boat has an 18 mile head start
The other boat is moving 18 miles per hour faster.
They will catch up in 1 hour.
d=velocity*time
small boat has gone 9t miles when caught
the larger boat goes the same distance or 27(t-2) miles
9t=27t-54
-18t=-54
t=3 hours, so large boat goes for 1 hour before they are alongside.
The answer is 1 hour, which the above stated,