Answer:
<u>It will take 3 hours 24 minutes or 3.4 hours (rounding to the nearest tenth) the boat to travel 27 miles upstream</u>
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)
<u>It will take 3 hours 24 minutes or 3.4 hours (rounding to the nearest tenth) the boat to travel 27 miles upstream</u>