Algebra

posted by .

A boat can travel upstream 14 miles in same it can travel downstream 8 miles. the boat is traveling 13 miles per hour. what is the current

  • Algebra -

    You have these reversed, faster downstream
    speed upstream = 13 - v
    speed downstream = 13 + v
    time = distance/rate
    14/(13+v)= 8/(13-v)
    182 - 14 v = 104 + 8v
    22 v = 78
    v = 3.55 mph

    check
    speed downstream = 3.55+13 = 16.54
    time downstream = 14/16.54 = .846 hr
    speed upstream = 13 - 3.55 = 9.45
    9.45 * .846 = 7.99 ok check

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    A boat travel 4 miles upstream with a current of 5 miles per hour. It takes 40 mminutes longer to go upstream. How fast does the boat go downstream
  2. algebra

    Show a complete solution. Upstream, downstream. Junior’s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the …
  3. algebra

    36 Upstream, downstream. Junior’s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
  4. math

    River Current A boat can travel 36 miles upstream in the same time that it can travel 54 miles downstream. If the speed of the current is 3 miles per hour, find the speed of the boat without a current.
  5. algebra

    A boat can travel 114 miles upstream in the same time that it can travel 186 miles downstream. If the speed of the current is 6 miles per hour, find the speed of the boat without a current.
  6. 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?
  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. algebra 2

    Kate can row a boat 10 miles per hour in still water. in a river where the current is 5 miler per hour, it take her 4 hour longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes …
  9. Math

    A boat traveling downstream can travel 10 miles in 1/2 hour. The same distance traveling upstream will take 2 hours. What is the speed of the boat and the rate of the current?
  10. 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.

More Similar Questions