Problem: A river lies in the east - west direction. The current in the river has a velocity relative to the ground of 3 mi/hr toward the east. A boat has a maximum speed relative to the water of 4 mi/hr. The boat is heading so as to get across the river as soon as possible. The speed (magnitude of velocity) of the boat relative to the ground is A. 1 mi/hr B. 3 mi/hr C. 4 mi/hr D. 5 mi/hr E. 7 mi/hr

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Problem Details

A river lies in the east - west direction. The current in the river has a velocity relative to the ground of 3 mi/hr toward the east. A boat has a maximum speed relative to the water of 4 mi/hr. The boat is heading so as to get across the river as soon as possible. The speed (magnitude of velocity) of the boat relative to the ground is

A. 1 mi/hr

B. 3 mi/hr

C. 4 mi/hr

D. 5 mi/hr

E. 7 mi/hr

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Relative Velocity in 2D concept. You can view video lessons to learn Relative Velocity in 2D. Or if you need more Relative Velocity in 2D practice, you can also practice Relative Velocity in 2D practice problems.

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Based on our data, we think this problem is relevant for Professor Saab's class at UF.