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24 September, 21:06

A boat moves at a rate of 11 mph in still water. If the river's current flows at a rate of 3 mph, how long does it take the boat to travel 27 miles upstream?

It takes hours.

(Round to the nearest tenth.)

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Answers (2)
  1. 24 September, 23:13
    0
    It will take 3 hours 24 minutes or 3.4 hours (rounding to the nearest tenth) the boat to travel 27 miles upstream

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Speed of the boat in still water = 11 mph

    Speed of the river's current = 3 mph

    Distance of the travel = 27 miles upstream

    2. How long does it take the boat to travel?

    x = Time it takes the boat to travel 27 miles upstream

    Let's recall that Speed = Distance/Time, therefore,

    Time = Distance/Speed

    Now, let's solve for x in the following equation:

    x = Distance of the travel / (Speed of the boat in still water - Speed of the river's current)

    Explanation: We subtract the speed of the river's current because the boat is traveling upstream or against the current

    Replacing with the values we know, we have:

    x = 27/11 - 3

    x = 27/8

    x = 3.375 or 3 hours 22 minutes and 30 seconds (0.375 of an hour = 0.375 * 60 = 22.5)

    It will take 3 hours 24 minutes or 3.4 hours (rounding to the nearest tenth) the boat to travel 27 miles upstream
  2. 25 September, 00:36
    0
    2 hrs

    Step-by-step explanation:

    Boat moving rate = 11 mph

    river's current flow rate = 3 mph

    By adding both of them, we get

    11 + 3 mph=14 mph

    Now,

    Time taken = distance travelled / velocity

    = 27/14

    = 2 hrs
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