Problema Solution
Kellen’s boat travels 12 mph . Find the rate of the river current if she can travel 10mi upstream in the same amount of time she can go 14 mi downstream.
Answer provided by our tutors
Let
x = the rate of the river current
12 - x = the rate of the boat when traveling upstream
d1 = 10 mi the distance the boat traveled upstream
12 + x = the rate of the boat when traveling downstream
d1 = 14 mi the distance the boat traveled downstream
t = the time of the travel
Using the formula:
Rate = Distance/Time
We see that the formula for time is:
Time = Distance/Rate
Now we can write:
d1/(12 - x) = d2/(12 + x)
10/(12 - x) = 14/(12 + x)
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x = 2 mph
The rate of the river current is 2 mph.