SOLUTION: a boat can go 60 mph in still water . it takesas long to go 560 miles upstream as it does to go downstream 640 miles. how fast is the current?

Question 109807: a boat can go 60 mph in still water . it takesas long to go 560 miles upstream as it does to go downstream 640 miles. how fast is the current?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a boat can go 60 mph in still water . it takes as long to go 560 miles upstream as it does to go downstream 640 miles. how fast is the current?
-------------------
Let current speed be "c".
Upstream DATA:
Distance = 560 miles ; Rate = (60-c) mph ; time = 560/(60-c) hrs
---------------------------------
Downstream DATA:
Distance = 640 miles ; Rate = (60+c) mph ; time = 640/(60+c) hrs
-----------------------------------
EQUATION:
time = time
560/(60-c) = 640/(60+c)
7/(60-c) = 8/(60+c)
420+7c = 480-8c
15c = 60
c = 4 mph (current speed)
===============
Cheers,
Stan H.

RELATED QUESTIONS
A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does (answered by ptaylor)

Solve the problem. A boat can go 33 mph in still water. It takes as long to go 300 miles... (answered by checkley71)

A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does (answered by gonzo)

Solve the Problem: A boat can go 33 mph in still water. It takes as long to go 300 miles (answered by josmiceli)

A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does (answered by solver91311)

A boat can go 45 mph in still water. It takes as long to go 630 miles upstream as it does (answered by checkley77,Ruli)

A boat can go 63 mph in still water. It takes as long to go 120 miles upstream as it does (answered by rwm,josmiceli)

A boat can go 104mph in still water. It takes as long to go 300miles upstream as it does... (answered by mananth)

a boat takes the same amout of time to go 14 miles upstream as it does to go 16 miles... (answered by mananth)