SOLUTION: The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
Algebra.Com
Question 856939: The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The speed of a boat in still water is 10 mph. If the boat travels 108 miles upstream in the same time it takes to travel 132 miles downstream, find the speed of the current.
----------
Upstream DATA:
dist = 108 miles ; rate = c-10 mph ; time = d/r = 108/(c-10)
-------
Downstream DATA:
dist = 132 miles ; rate = c+10 mph ; time = 132/(c+10)
---------
Equation:
108/(c-10) = 132/(c+10)
-------
108c + 1080 = 132c - 1320
-------
24c = 2400
c = 100 mph (rate of the current-----unbelievable)
================
Cheers,
Stan H.
RELATED QUESTIONS
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 20 miles downstream in the same... (answered by Boreal)
The speed of a stream is 3 mph. A boat travels 4 miles upstream in the same time it takes (answered by checkley77)
the speed of a stream is 2 mph. A boat travels 6 miles upstream in the same time it takes (answered by lwsshak3)
The speed of a stream in 5 mph. If a boat travels 82 miles downstream in the same time... (answered by ankor@dixie-net.com)
The speed of a stream is 6 mph. If a boat travels 72 miles downstream in the same time... (answered by aaaaaaaa)
The speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time... (answered by ankor@dixie-net.com)
the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time... (answered by mananth)
The speed of a stream is 6 mph. If a boat travels 54 miles downstream in the same time... (answered by nyc_function)