SOLUTION: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 18 mph because of fog. The total

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 18 mph because of fog. The total       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 347696: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 18 mph because of fog. The total time for the trip is 5 h. How far is the island from the harbor?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi.
*Note: let t represent the to travel to the island. (5-t)represents the time to travel back to harbor.
.
distance = rate * time (distance the same to and from)
22%28mi%2Fhr%29%2At+=18%28mi%2Fhr%29%2A%285-t%29
.
Simplify and Solve for t
22%28mi%2Fhr%29%2At+=90%28mi%2Fhr%29-+18%28mi%2Fhr%29%2At
40%28mi%2Fhr%29%2At+=90%28mi%2Fhr%29
t+=2.25hr%29
.
d= r*t
22%28mi%2Fhr%29%2A2.25hr+=+highlight%2849.5mi%29