(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A ferry leaves a dock and travels to an island at an average speed of 16 mph. On the return trip, the ferry travels at an average speed of 12 mph. The total time for the trip is 2 and 1/3 hours.

How far is the island from the dock?

3. The attempt at a solution

Attempt 1:

d = distance

(7/3 * 16) - (7/3 * 12 ) = d

112/3 - 84/3 = d

28/3 = d

d = 9.333...

Attempt 2:

t = time of second trip

16 * (2 and 1/3 - t)= 12t

37 and 1/3 - 16t = 12t

37 and 1/3 = (12 + 16)t

112/3 = 38t

1/38 * 38/1t = 1/38 * 112/3

t = 112/114

t = 56/57

If I use 56/57 I get 21.61 mi and 11.79 mi. lol.

The book's answer is 16 miles.

Any takers?

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# Homework Help: Uniform motion problem

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