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

Question 395830: 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?
__?__ Miles
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
:
Let d = one way dist to the island
:
A simple time equation (time = dist/speed)
+ = 5
Multiply by the LCM; 198, results
9d + 11d = 5(198)
20d = 990
d = 990/20
d = 49.5 mi to the island
:
:
Check this by finding the time each way
49.5/22 = 2.25 hrs
49.5/18 = 2.75
-----------------
total hrs: 5

RELATED QUESTIONS
A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On... (answered by richwmiller,drk)

A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On... (answered by ewatrrr)

A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On... (answered by mananth,amoresroy)

A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On... (answered by robertb)

A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On... (answered by macston)

A FERRY LEAVES A HARBOR AND TRAVELS TO A RESORT ISLAND AT AN AVERAGE SPEED OF 22 MPH. oN... (answered by josgarithmetic)

A ferry leaves a harbor and travels to a resort island at an average speed of 20 mph. On... (answered by josmiceli)