The steamer going upstream would cover the distance between Town A and Town B in 5 hours. The same steamer going downstream would cover the distance between the towns in 3 hours. How long would it take a raft moving at the speed of the current to float from B to A?
Correct answer: C
Explanation
Let D be the distance, let V be the speed of the steamer, and let x be the speed of the current.
D / (V+x) = 3
D / (V-x) = 5
3V+3x = 5V-5x
V = 4x
D / (4x+x) = 3
D/x = 15 hours
The answer is C.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.