10
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 10 • AZ-Algebra 2A (MA301)

A boat has a speed of 15 mph in calm water. It takes the boat 3 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
3(15 – c) = 2(15 + c)
B
2(15 – c) = 3(15 + c)
C
15 – c = 15 + c
D
15 – 3c = 15 + 2c

Explanation

Upstream, the current slows the boat, so its speed is 15 − c mph. In 3 hours, it travels 3(15 − c) miles. Downstream, the current adds to the boat’s speed, giving 15 + c mph; in 2 hours, it travels 2(15 + c) miles. Since both trips cover the same distance, set these expressions equal: 3(15 − c) = 2(15 + c), which is choice A.

AI-written and checked against the verified answer.

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