During the first part of a trip, a canoeist travels 28
miles at a certain speed. The canoeist travels 9
miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?
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To solve this problem, we can use the formula:
Speed = Distance / Time
Let's assign variables to the unknown values. Let's say the speed during the first part of the trip is "x" mph. Therefore, the speed during the second part of the trip would be "x - 5" mph, as it is 5 mph slower.
During the first part of the trip, the canoeist travels 28 miles. We can plug this into the formula to get:
x = 28 / Time1
During the second part of the trip, the canoeist travels 9 miles. We can plug this into the formula to get:
(x - 5) = 9 / Time2
The total time for the trip is 3 hours. We can express this as:
Time1 + Time2 = 3
Now, we have a system of equations:
x = 28 / Time1
(x - 5) = 9 / Time2
Time1 + Time2 = 3
Solving this system of equations will give us the values of x, Time1, and Time2, which will allow us to determine the speed on each part of the trip.
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Simply change the numbers in the solution by Henry