SOLUTION: A boat can travel 16 mi/hr in still water. If the boat can travel 5 mi downstream in the same time it takes to travel 3 mi upstream, what is the rate of the river’s current?

Algebra ->  Expressions-with-variables -> SOLUTION: A boat can travel 16 mi/hr in still water. If the boat can travel 5 mi downstream in the same time it takes to travel 3 mi upstream, what is the rate of the river’s current?       Log On


   



Question 374999: A boat can travel 16 mi/hr in still water. If the boat can travel 5 mi downstream in the same time it takes to travel 3 mi upstream, what is the rate of the river’s current?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


We know that distance equals rate times time. But that also means that time is equal to distance divided by rate. Since the current adds to the rate of the boat going down stream and subtracts going upstream, we can write an expression that represents the time going either way.



and



Where is the time for each trip and is the rate of the current.



Cross-multiply, collect terms, and solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism