1.5 #28 - Please help me solve this!!

Algebra
Tutor: None Selected Time limit: 1 Day

Traveling at full speed on a river, it takes 2 hours for a motor boat to travel 8 miles downstream and 4 miles back upstream. if the current's speed is 2 mph, what is the maximum speed of the boat in still water?

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

speed of boat --- x km/h 
speed of current -- y km/h  =2mph

time= diatance/speed


8/(x+2)+4/x-2=2

8(x-2)+4(x+2)=2(x-2) (x+2)

8x-16+4x+8=2(x^2-4)

6x-4=x^2-4

x^2-6x=0

x(x-6)=0

x=0 or x=6


maximum speed of boat in still water =6 mph
 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 18th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 3rd, 2015
...
Oct 3rd, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer