SOLUTION: the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time that it takes to travel 37 miles upstream, what is the speed of the boat in still water?
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time that it takes to travel 37 miles upstream, what is the speed of the boat in still water?
Log On
Question 309802: the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time that it takes to travel 37 miles upstream, what is the speed of the boat in still water? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let the speed of boat in still water be xmph.
then downstream speed will be x+4
time taken to travel 74 kms downstream = 74/x+4
.
Upstream speed will be x-4 mph.
time taken for traveling 37 miles = 37/x-4
.
both times are same.
.
74/x+4 = 37/x-4
74(x-4)=37(x+4)
74x-296= 37x + 148
37x=148+296
37x= 444
x= 444/37
x= 12 mph boat rate in still water
