SOLUTION: Gone fishing. Debbie traveled by boat 5 miles upstream to
fish in her favorite spot. Because of the 4-mph current, it
took her 20 minutes longer to get there than to return. How
Algebra.Com
Question 204108This question is from textbook
: Gone fishing. Debbie traveled by boat 5 miles upstream to
fish in her favorite spot. Because of the 4-mph current, it
took her 20 minutes longer to get there than to return. How
fast will her boat go in still water?
Thank you for your help
This question is from textbook
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Debbie traveled by boat 5 miles upstream to fish in her favorite spot.
Because of the 4 mph current, it took her 20 minutes longer to get there
than to return.
How fast will her boat go in still water?
:
Let s = boat speed in still water
then
(s-4) = speed upstream
and
(s+4) = speed down stream
:
Convert 20 min to hrs: 20/60 = hr
:
Write a time equation: time =
Upstream time = downstream time + 20 minutes (1/3 hr)
= +
:
To clear out these denominators, multiply equation by 3(s+4)(s-4)
3(s+4)(s-4)* = 3(s+4)(s-4)* + *3(s+4)(s-4)
Results in
:
15(s+4) = 15(s-4) + (s+4)(s-4)
:
15s + 60 = 15s - 60 + s^2 - 16
:
0 = 15s - 15s - 60 - 60 + s^2 - 16
:
0 = s^2 - 136
:
s^2 = 136
s =
s = 11.66 mph speed in still water
:
:
Check solution on calc: (speed up = 7.66 and speed down = 15.66)
5/7.66 - 5/15.66 = .3333 which is 1/3 of an hr
RELATED QUESTIONS
Hi I need help with this here is the question:
Gone fishing: Debbie traveled by boat 5... (answered by ankor@dixie-net.com)
84.)Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot.... (answered by ptaylor)
84.)Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot.... (answered by Alan3354)
84.)Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot.... (answered by Alan3354)
84.)Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot.... (answered by midwood_trail)
10.3
84. Gone fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite (answered by ankor@dixie-net.com)
Gone fishing. Debbie traveled by boat 5 miles upstream to
fish in her favorite spot.... (answered by stanbon,scott8148)
Quadratic Equation Word Problem:
Gone Fishing. Debbie traveled by boat 5 miles... (answered by ankor@dixie-net.com)
Gone fishing. Debbie traveled by boat 5 miles upstream to
fish in her favorite spot.... (answered by ankor@dixie-net.com)