SOLUTION: Karen’s boat has a top speed of 10 miles per hour in still water. While traveling on a river at top speed, she went 16 miles upstream in the same amount of time she went 24 miles d
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Question 856197: Karen’s boat has a top speed of 10 miles per hour in still water. While traveling on a river at top speed, she went 16 miles upstream in the same amount of time she went 24 miles downstream. Find the rate of the river current.
I am having a problem with finding the formula and how to do this type of problem. Can you help me? I need help step by step. I am a fast learner once I see it done one time. I have been stuck on this for two days now and tried to figure out how to do the formula for it. Thank you so much!
Genie
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the current
= the boat's speed going upstream
= the boat's speed going downstream
Let = the time in hours for both trips
-----------------------------------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
-----------------------
Add the equations:
(1)
(2)
hrs
------------------
(1)
(1)
(1)
The speed of the current is 2 mi/hr
check:
(2)
(2)
(2)
(2)
OK
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