SOLUTION: A boat went a certain distance up a river and back in 2 hours and 56 minutes. Its speed was 17.5 mph going upriver and 21 mph returning. How far up the river did it go ?
can you p
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Question 937832: A boat went a certain distance up a river and back in 2 hours and 56 minutes. Its speed was 17.5 mph going upriver and 21 mph returning. How far up the river did it go ?
can you please give an equation and detailed explanation
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the one-way distance ( up or down river )
Let = time in hrs to go upriver
-----------------------------------
Convert min to hours
hrs
= time in hrs to go downriver
-----------------------------------------
Equation for going upstream:
(1)
Equation for going downstream:
(2)
----------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2) hrs
Plug this result back into (1)
(1)
(1)
The boat went 28 mi upriver
---------------------------
check:
(2)
(2)
(2)
(2)
OK
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