algebra

posted by .

A motorboat can maintain a constant speed of 24 mph relative to the water. The boat makes a trip upstream to a certain point in 62 minutes. the return trip takes 34 minutes. What is the speed of the current?

  • algebra -

    d1 = d2,
    (24-Vc)1.0333 = (24+Vc)0.5666,
    24.8 - 1.033Vc = 13.6 + 0.5666Vc,
    -1.0333Vc -0.5666Vc = 13.6 -24.8,
    -1.6Vc = -11.2,
    Vc = 7mi/h.

    d1 = Distance upstream.
    d2 = Distance downstream.
    Vc = Velocity of the current.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?
  2. math

    A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?
  3. college algebra

    A boat can maintain a constant speed of 34 mph relative to the water. The boat makes a trip upstream to a certain point in 21 minutes; the return trip takes 13 minutes. What is the speed of the current?
  4. Math

    This is also another problem that I'm having trouble on. A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 …
  5. algebra

    a motorboat can maintain a constant speed of 11 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 21 minutes; the return trip takes 1 minutes. That is the speed of the current?
  6. Maths

    A river flows at 3km/h. At what speed must a boat travel in order to make a 35km trip upstream in a time of 50 minutes?
  7. algebra

    While preparing for a kayak race, Marta practiced on a local river. On one trip she traveled 3.5 miles upstream in 50 minutes with the return trip taking 22.9 minutes. What was her speed in still water and the sped of the river current?
  8. Algebra

    A motorboat can maintain a constant speed of 26 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 35 minutes; the return trip takes 17 minutes. What is the speed of the river current?
  9. NEED HELP!! ALGEBRA

    A motorboat can maintain a constant speed of 26 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 35 minutes; the return trip takes 17 minutes. What is the speed of the river current?
  10. physics

    Two boat landings are 8.0 km apart on the same bank of a stream that flows at 2.8 km/h. A motorboat makes the round trip between the two landings in 50 minutes. What is the speed of the boat relative to the water?

More Similar Questions