SOLUTION: the speed of the boat in still water is 15 miles per hour. it takes the same amount of time for the boat to travel 10 miles downstream as it does to travel 5 miles upstream. find t
Algebra.Com
Question 1170346: the speed of the boat in still water is 15 miles per hour. it takes the same amount of time for the boat to travel 10 miles downstream as it does to travel 5 miles upstream. find the speed of the current.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=speed of current
15+x downstream and takes 10/(15+x) units are mi/mi/hr or hr
15-x upstream and takes 5/(15-x) hr
Those two are equal because they are both the same time
Cross-multiply, 150-10x =75+5x
75=15x
x=5 mph
downstream and 20 mph and takes 30 min
upstream and 10 mph and takes 30 min
RELATED QUESTIONS
A boat can travel 12 miles upstream in the same amount of time it takes to travel 18... (answered by mananth,stanbon)
The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles... (answered by mananth)
The speed of a boat in still water is 4 miles per hour. If the boat travels 5 miles... (answered by mananth)
The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles... (answered by lwsshak3)
A boat can travel 14 miles upstream in the same amount of time it takes to travel 21... (answered by Earlsdon)
The speed of a stream is 4 miles per hour. If a boat travels 46 miles downstream in the... (answered by richwmiller)
A boat travels 24 miles up the river in same amount of time it takes to travel 32 miles... (answered by josgarithmetic)
in still water, a boat averages 15 miles per hour. it takes the same amount of time to... (answered by macston)
a boat can travel 18 miles up a river in the same amount of time it takes to travel 42... (answered by ankor@dixie-net.com)