SOLUTION: A boat can travel at 10 mph in still water. It travels 75 miles downstream with the current in the same time it travels 25 miles upstream. What is the speed of the current?
Algebra.Com
Question 129450: A boat can travel at 10 mph in still water. It travels 75 miles downstream with the current in the same time it travels 25 miles upstream. What is the speed of the current?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x=current __ time equals distance divided by rate
"It travels 75 miles downstream with the current" __ 75/(10+x)
"in the same time" __ =
"it travels 25 miles upstream" __ 25/(10-x)
dividing by 25 and "cross" multiplying __ 3(10-x)=1(10+x) __ 30-3x=10+x __ 20=4x
RELATED QUESTIONS
in still water a boat travels 15 mph. It takes same amount of time to travel 20 miles... (answered by htmentor)
a boat can travel 51 mph in still water. if it travels 480 miles with the current in the... (answered by mananth)
a boat can travel 35 mph in still water. if it travels 117 miles with the current in the (answered by mananth)
A boat can travel 48 mph in still water. If it travels 156 miles with the current in the... (answered by mananth)
A boat can travel 51 mph in still water. If it travels 348 miles with the current in the... (answered by richwmiller)
a boat can travel 48 mph in still water. If it travels 486 miles with the current in the... (answered by ankor@dixie-net.com)
A boat can travel 27 mph in still water. If it travels 324 miles with the current in the... (answered by edjones)
A boat can travel
59 mph in still water. If it travels
325 miles with the current in... (answered by macston)
A boat can travel 29 mph in still water. If it travels 342 miles with the current in the... (answered by fractalier)