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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.)

Respuesta :

Answer:

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

roundadworthy

Answer:

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

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