math

A motorboat left a harbor and traveled to an island at an average rate of 11 knots. The average speed on the return trip was 10 knots. If the total trip took 4.2 hours, how far is the harbor from the island?

  1. 👍 0
  2. 👎 0
  3. 👁 480
  1. distance to island --- n miles
    x/11 + x/10 = 4.2
    times 110
    10x + 11x = 462
    x = 22 nautical miles

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math 111

    It takes a motorboat 1 1/3 hours to go 20 miles downstream and 2 2/9 hours to return.Find the rate of the current andthe rate of the boat in still water.

  2. physics

    a motorboat is driven across a river at 5km/h at right angles to a current flowing at 3.9km/h. What is the resulting speed of the motorboat?

  3. English

    Living with People Tip Tip was discovered on an island by some curious explorers. The island was left alone by the modern world for the past several hundred years. When one of the explorers saw the tip of the island, he asked his

  4. Algebra Continued

    2)A motorboat leaves a dock and travels at an average speed of 15mi/h toward an island. The average speed on the return trip is 10mi/h. How far is the island from the harbor if the total trip takes 5h? (HInt-first find the 2

  1. 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

  2. Algebra Word Problem Help

    In 1626, Peter Minuit of the Dutch West Indies purchased Manhattan Island from the Native Americans for $24. Assuming an exponential rate of inflation of 6% per year, how much will Manhattan Island be worth in 2010?

  3. Math

    A ship is 60 miles west and 91 miles south of the harbor. a) What bearing should the ship take to sail directly to the harbor? (Round answer to nearest tenth of degree.) b) What is the direct distance to the harbor?

  4. Physics

    A sailboat is moving across the water at 3.0 m/s. A gust of wind fills its sails and it accelerates at a constant 2.0 m/s2. At the same instant, a motorboat at rest starts its engines and accelerates at 4.0 m/s2. After 3.0 seconds

  1. Algebra

    A motorboat left a harbor and traveled to an island at an average rate of 18 knots. The average speed on the return trip was 10 knots. If the total trip took 14.0 hours, how far is the harbor from the island?

  2. Algebra II

    A train left Podunk and traveled north at 75 Km/h. Two hours later, another train left Podunk and traveled in the same direction at 100 km/h. How many hours had the first train traveled when the second train overtook it?

  3. mathematics

    Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 14 miles at a speed of 7 mph, while Bob's motorboat traveled 22 miles at a speed of 11 mph. For how long were Niles and Bob traveling?

  4. math

    Chelsea left the White House and traveled toward the capital at an average speed of 34 kn/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 65km/h. Find the number of hours Jasmine

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