Math

posted by .

It took a boat 6 h to travel 84 km up a river against the current but only 4 h and 12 minutes for the return trip with the current. Find the speed of the boat in still water and the speed of the current water.

  • Math -

    Vb - Vw = 84km/6h = 14km/h.
    Vb + Vw = 84km/4.2h = 20 km/h.

    Eq1: Vb - Vw = 14
    Eq2: Vb + Vw = 20
    Add the Eqs:
    2Vb = 34
    Vb = 17 km/h. = Velocity of boat.

    In Eq2, substitute 17 for Vb:
    17 + Vw = 20
    Vw = 3 km/h = Velocity of the water.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. word problem

    A motor boat took 4 hours to make a downstream trip with a current of 3mph. The return trip against the same current took 8 hours. Find the speed of the boat in still water. Call Y the boat's rate. distance = rate x time. downstream …
  2. math 116

    A Coast-Guard patrol boat travels 4 hr on a trip downstream with a 6-mph current. The return trip against the same current takes 5 hr. Find the speed of the boat in still water
  3. Algebra

    Cody’s motorboat took 3 hr to make a trip downstream with a 6-mph current. The return trip against the same current took 5 hr. Find the speed of the boat in still water
  4. algebra

    A boat on a river travels downstream between two points, 70 mi apart, in one hour. The return trip against the current takes 2 1 2 hours. What is the boat's speed (in still water)
  5. Math

    A boat travels 12 miles up a river, then returns to where it started. The trip upriver took one hour longer than the return trip. If the current is 3mph, find the speed of the boat
  6. Algebra 2

    5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water?
  7. Algebra

    5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water?
  8. algebra

    Chen's motorgoat took 3 hr to make a treip downstream with a 6-mph current. The return trip against the same current took 5 hr. Find the speed of the boat in still water.
  9. math

    The Connecticut River flows at a rate of 5 km / hour for the length of a popular scenic route. If a cruiser to travels 4 hours with the current to reach a drop-off point, but the return trip against the same current took 6 hours. Find …
  10. physics

    A boater wants to head straight across a river that has a current of 3 km/hr. If the top speed of the boat in still water is 4 km/hr. 1.find the direction the boat must travel into the current to go straight across the river?

More Similar Questions