SOLUTION: What is the answer to this question and what is the formula to get the answer. A boat on a river traveled 16 miles in 20 miles going downstream. The boat can hold 15 gallons of

Algebra.Com
Question 847149: What is the answer to this question and what is the formula to get the answer.
A boat on a river traveled 16 miles in 20 miles going downstream. The boat can hold 15 gallons of gas. It takes 30 minutes for the boat to travel back upstream to where it started. Find the speed of the current.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A boat on a river traveled 16 miles in 20 minutes going downstream. The boat can hold 15 gallons of gas. It takes 30 minutes for the boat to travel back upstream to where it started. Find the speed of the current.
-----------------------
Downstream DATA:
dist = 16 miles ; time = 1/3 hr ; rate = d/t = 16/(1/3) = 48 mph
--------------------
Upstream DATA:
dist = 16 miles ; time = 1/2 hr ; rate = d/t = 16/(1/2) = 32 mph
------------------
Equations:
Downstream:: b + c = 48 mph
Upstream ::: b - c = 32 mph
--------------------------------
Subtract and solve for "c":
2c = 16
current = 8 mph
-----------------------
Cheers,
Stan H.
======================

RELATED QUESTIONS

The speed of the current in a river is 2mph. Jay travels 20 miles upstream and then 20... (answered by checkley71)
Okay. This is a question on my study guide for my test tommorrow and right now I am... (answered by bmauger)
Please help me with this problem. Write an equation that can be used to solve the... (answered by josgarithmetic,macston,MathTherapy)
A river flows at 3mph. A boat takes 1 hour longer to sail 36 miles upstream than to... (answered by ptaylor)
A boat on a river travels 24 miles downstream in only 3 hours. It takes the same boat 5... (answered by mananth)
Hello i need you to help me with this problem, A boat traveled 21 miles upstream on a... (answered by josgarithmetic,ikleyn)
A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for... (answered by josmiceli)
A motorboat can travel at a rate of 15 mph in still water. It went downstream on a river... (answered by Abbey)
A boat is traveling 9 miles downstream in the same time that he travels 3 miles upstream, (answered by lwsshak3,TimothyLamb,MathTherapy)