A motorboat's speed-to-current ratio is 36:5. Traveling downstream for 5 hours 10 minutes, how long will the return trip take_______?
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Answer: C. 6 hours 50 min
Explanation
Assigning algebraic variables to the motorboat speed and current determines downstream and upstream velocities. Equating the distance traveled in both directions allows calculating the required return journey duration. Converting the resulting time units correctly gives six hours and fifty minutes for the upstream trip. Boat speed problems combine the vessel speed in still water with the speed of the water current. Downstream travel benefits from the current adding to the boat speed while upstream travel opposes it. Total distance remains constant regardless of direction when traveling back and forth between two points.
Navigational planning for river transport requires factoring in current velocities to estimate fuel consumption. Marine engineers design vessel propulsion systems to overcome adverse water currents efficiently. Recreational boaters use current speed ratios to plan safe travel times for river excursions. Option A suggests five hours and fifty minutes which underestimates the time needed against the current. Option B proposes exactly six hours which fails to account for the precise distance equation. Option D offers twelve hours and ten minutes which drastically overestimates the upstream travel duration.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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