3
QuizMultiple Choice

Unit Test — Unit test

Question 3 • AZ-Common Core Algebra II A

A boat has a speed of 9 miles per hour in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

Answer
A
2(9 – c) = 4(9 + c)
B
9 + c = 4(9 – c)
C
9 – c = 2(9 + c)
D
4(9 – c) = 2(9 + c)

Explanation

Upstream, the current slows the boat, so its speed is 9 − c miles per hour. Downstream, the current helps, so its speed is 9 + c miles per hour. The distances are equal, and distance equals speed times time, giving 4(9 − c) = 2(9 + c). This is choice D.

AI-written and checked against the verified answer.

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