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. If the river is one mile wide, how long does it take the boat to cross the river?A. 8.6 minutesB. 12 minutesC. 15 minutesD. 20 minutesE. 60 minutes

FREE Expert Solution
83% (125 ratings)
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. If the river is one mile wide, how long does it take the boat to cross the river?

A. 8.6 minutes

B. 12 minutes

C. 15 minutes

D. 20 minutes

E. 60 minutes

Frequently Asked Questions

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.

How long does this problem take to solve?

Our expert Physics tutor, Patrick took 2 minutes and 32 seconds to solve this problem. You can follow their steps in the video explanation above.