1. Questions

Algebra 2

how would you solve:

the current in the river flowed at 3 mph. The boat could travel 24 mph downstream in half the time it took to travel 12 mi upstream. what was the speed of the boat in still water?

please help.


The time required to go any distance upstream a distance L is L/(12 - V) and the time to go downstream is
L/(12 + V),
where V is the speed of the water in the river.

Since L/(12-V) = 2 L/(12+V),
then 12 + V = 2 (12 - V)

Solve for V. L cancels out.

  1. 👍
  2. 👎
  3. 👁
Jonathan

Respond to this Question

First Name

Your Response

Similar Questions

  1. phys science

    1. speed is the ratio of the distance an object moves to a. the amount of time needed to travel the distance** b. the direction the object moves c. the displacement of an object d. the motion of the object 2. a car traveled 60 km

  2. algebra

    a motorboat travels 22 mph with the current and 8 mph against the current. Find the speed of the boat in still water and the speed of the current.

  3. physics

    your boat departs from the bank of a river that has a swift current parallel to its banks. if you want to cross the river in the shortest amount of time, you should direct your boat a.) perpendicular to the current b.) upstream

  4. Mathematics

    1. The speed of a current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat for his business. Every day, his route takes him 22.5 miles each way against the current and back to his

  1. phys

    A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground). A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat). The speed

  2. Algebra

    Petra, who can paddle her canoe at a rate of 12 mph in calm water, is paddling her canoe on a river whose current is 6 mph. How long will it take her to travel 3 miles upstream against the current? Please help

  3. physics

    A river flows toward 90 degrees. A river boat pilot heads the boat at 297 degrees and is able to go straight across the river at 6 m/s. What is the velocity of the current? What is the velocity of the boat?

  4. physics - relative motion

    A ferryboat, whose speed in still water is 4.00m/s, must cross a river whose current is 3.00m/s. The river runs from west to east and is 128m wide. The boat is pointed north. a) If the boat does not compensate for the flow of the

  1. physics

    A boat travels at 3.8 m/s and heads straight across a river 240 m wide. The river flows at 1.6 m/s. Find A) The boat's resultant velocity. B) How long it takes the boat to cross the river. C) How far downstream the boat is when it

  2. physics

    A boat moving at 13 mi/hr is crossing a river in which the current flowing at 6 mi/hr.ln what direction should the boat head if it is to reach a point on other side of the river directly opposite its starting point. Please help me

  3. Algebra 2

    The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which the boat travels in still water is 5 times the rate of the river current, what is the rate of the

  4. algabre

    the speed of the current in a river is 6 mph a ferry operator who works that part of the river is looking to buy a new boat for his business everyday his route takes him 22.5 miles against the current and back to his deck and he

You can view more similar questions or ask a new question.