algebra

posted by Josie

A boat can travel 16 km/h against the current.The same boat can travel 30 km/h with the current.find the rate of the boat in still water and the rate of the current.
Could someone help me.it seams like an easy problem, but I am not getting there.Thank YU very much.

  1. Reiny

    speed of boat in still water ---- x km/h
    speed of current ------- y km/h

    x+y = 30
    x-y = 16
    add them
    2x = 46
    x = 23
    then y = 7

    speed in still water is 23 km/h, speed of current is 7 km/h

  2. mawande

    30

Respond to this Question

First Name

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. Algebra

    a boat moves through still wather at x kilometers(km) per hour. it travels 24km up stream against a current of 2km per hour and then returns with the current. The rate upstream is x-2 because the boat moves against the current and …
  3. Math

    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.
  4. Intermediate Algebra

    in still water, a paddle boat averages 10 miles per hour. It takes the boat the same amount of time to travel 36 mile downstream, with the current as 24 miles upstream, against the current. What is the rate of the water's current?
  5. Math! Algebra 1!

    A boat is traveling in a river with a current that has a speed of 1.5 km/h. In one hour, the boat can travel twice the distance downstream as it can travel upstream. How long will it take the boat to travel 100 km in still water?
  6. algebra

    A motorboat traveling a distance of 225 miles in 5 hours while traveling with the current. Against the current, the same trip took 9 hours. Find the rate of the boat in calm water and the rate of the current. rate of boat mph rate …
  7. Algebra

    The current of a river moves at 3 miles per hour. It takes a boat 3 hours to travel 12 miles upstream, against the current, and return the same distance traveling downstream, with the current. What is the boats rate in still water?
  8. Math

    in still water, a speed boat travels 5 times faster than the current of the river. If the speed boat can travel 48 miles upstream and then back in 5 hours, find the rate of the current.
  9. algebra

    A boat can travel 38 mph in still water. If the boat can travel 100 miles with the current in the same time it can travel 80 miles against the current, find the rate of the current r in miles per hour.
  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