SOLUTION: One more question please ! Someone please help. A boat can travel 10 miles downstream in 70 minutes. The return trip upstream requires 2 hours. Find the rate of the boat and rate

Question 692747: One more question please !
Someone please help.
A boat can travel 10 miles downstream in 70 minutes. The return trip upstream requires 2 hours. Find the rate of the boat and rate of the current.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of the current in mi/hr
Let = the rate of the boat in still water in mi/hr
= the rate of the boat going downstream in mi/hr
= the rate of the boat going upstream in mi/hr
-----------
Convert min to hrs.
hrs
-----------
Equation for going downstream:
(1)
Equation for going upstream:
(2)
------------------
This is 2 equations with 2 unknowns, so it's solvable
(2)
(2)
(2)
Substitute this into (1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
The rate of the boat is 6.7857 mi/hr
The rate of the current is 1.7857 mi/hr
--------------
check:
(2)
(2)
(2)
(2)
OK
(1)
(1)
(1)
(1)
(1)
error must be due to rounding off- OK

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