SOLUTION: a small motorboat travels 10mph in still water it takes 3 hours longer to travel 68 miles going upsteam than it does going downstream. find the rate of the current
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Question 813685: a small motorboat travels 10mph in still water it takes 3 hours longer to travel 68 miles going upsteam than it does going downstream. find the rate of the current
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(10-c)(x+3)=68,
(10+c)*x=68
c=2.10787, x=5.61618
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of the current in mi/hr
= speed of the boat going downstream
= speed of the boat going upstream
Let = time in hrs for going downstream
---------------------------------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
-------------------
(1)
(1)
(1)
(1)
--------------------------
By substitution:
(2)
(2)
(2)
(2)
Use the quadratic formula
( note: C and not c is the solution )
-----------
The rate of the current is 2.108 mi/hr
-----------
check:
(2)
(2)
(2)
(2) hrs
---------------
(1)
(1)
(2)
(2)
pretty close
Hope I got it
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