SOLUTION: In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 528 ​mi, in 6 hr.​ Returning, he finds th

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Question 1049079: In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 528

​mi, in 6

hr.​ Returning, he finds that the trip​ downstream, still at top​ speed, takes only 5.5

hr. Find the rate of​ Bill's boat and the speed of the current. Let x​ = the rate of the boat in still water and y​ = the rate of the current.
Found 2 solutions by josgarithmetic, advanced_Learner:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
Constant Travel Rate Rule to relate rate, time, distance corresponding to R, T, D, is RT=D. 
                SPEED           TIME         DISTANCE
UPSTREAM        x-y             6            528
DOWNSTR         x+y             5.5          528


You have a system of equations, .
Solve the system. Both equations are linear.
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
the required equations are
= for upstream
= for downstream

=
=

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -1*v to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that v=4. Since , u=92.

Answer: .
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