SOLUTION: A boat is traveling 9 miles downstream in the same time that he travels 3 miles upstream, against the river current. The speed of the river current is 6 miles per hour, what is the

Question 926695: A boat is traveling 9 miles downstream in the same time that he travels 3 miles upstream, against the river current. The speed of the river current is 6 miles per hour, what is the speed of the boat traveling in still water, or with no river current.
Im not sure how to set up the problem, if someone could explain that would be very helpful. not looking for the answer, more so how to set this word problem up.
Found 3 solutions by lwsshak3, TimothyLamb, MathTherapy:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
A boat is traveling 9 miles downstream in the same time that he travels 3 miles upstream, against the river current. The speed of the river current is 6 miles per hour, what is the speed of the boat traveling in still water, or with no river current.
***
let x=speed of boat in still water
x+6=speed of boat downstream
x-6=speed of boat upstream
travel time=distance/speed(same for both directions)

9x-54=3x+18
6x=72
x=12
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = speed of boat in still water
s = d/t
---
downstream:
x + 6 = 9/t
t = 9/(x + 6)
---
upstream:
x - 6 = 3/t
t = 3/(x - 6)
---
9/(x + 6) = 3/(x - 6)
9(x - 6) = 3(x + 6)
9x - 54 = 3x + 18
6x = 72
---
answer:
x = speed of boat in still water = 12 mph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A boat is traveling 9 miles downstream in the same time that he travels 3 miles upstream, against the river current. The speed of the river current is 6 miles per hour, what is the speed of the boat traveling in still water, or with no river current.
Im not sure how to set up the problem, if someone could explain that would be very helpful. not looking for the answer, more so how to set this word problem up.

Let average speed of boat in still water, be S
Speed of current: 6 mph
Traveling DOWNSTREAM, the boat is traveling WITH the current, thereby INCREASING its average speed in still
water. Therefore, average speed, traveling DOWNSTREAM = S + 6
Speed of current: 6 mph
Traveling UPSTREAM, the boat is traveling AGAINST the current, thereby REDUCING its average speed in still
water. Therefore, average speed, traveling UPSTREAM = S - 6
Time the boat takes to go 9 miles DOWNSTREAM: , or
Time the boat takes to go 3 miles UPSTREAM: , or
Since time taken to go 9 miles DOWNSTREAM is the same time taken to go 3 miles UPSTREAM,
then we can say that:
Solving this equation for S will result in the speed of the boat in still water
Do a check after, to make sure that the answers you got are correct!!
===================
If you need a complete and detailed solution, let me know!!
Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 � 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS
a paddle boat travels 9 miles upstream (against the current) in the same time it travels (answered by jorel555)
A boat travels between two cities that are 11 miles apart. When going downstream, with... (answered by ankor@dixie-net.com)
on a certain river, a paddle boat travels 8 miles upstream against the current in the... (answered by TimothyLamb)
The current of a river moves at 3 miles per hour. It takes a boat a total of 3 hours to... (answered by Murthy)
the speed of the lazy river current is 5 mph. If a boat travels 20 miles downstream in... (answered by Fombitz)
The speed of a river current is 4 mph. If a boat travels 30 miles downstream in the same... (answered by TimothyLamb)
The speed of a river current is 4 mph. If a boat travels 20 miles downstream in the same... (answered by Boreal)
The speed of a river is 4 mph. A boat travels 3 miles upstream (against the current) in... (answered by TimothyLamb)
Question 400689: A sight seeing boat travels an average speed of 22 mph in the calm water (answered by josgarithmetic)