SOLUTION: the speed of a stream is 2 mph. a boat travels 4 miles upstream in the same time it take to travel 8 miles downstream. what is the speed of the boat in still water?

Question 971782: the speed of a stream is 2 mph. a boat travels 4 miles upstream in the same time it take to travel 8 miles downstream. what is the speed of the boat in still water?
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
the speed of a stream is 2 mph. a boat travels 4 miles upstream in the same time it take to travel 8 miles downstream.
Time=Distance/Speed
Let the speed of the boat in still water be x.
Time taken to travel upstream=4/(x-2)
Time taken to travel downstream=8/(2+x)
4/(x-2)=8/(2+x)
Simplifying we get,
2+x=2x-4
x=6 miles/hour
Speed of the boat in still water=6 miles/hour.
RELATED QUESTIONS
The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes (answered by tommyt3rd)

The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes (answered by josgarithmetic)

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 3 mph. A boat travels 8 miles upstream at the same time it takes (answered by orca)

The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it... (answered by drk,stanbon,checkley77)

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 4 mph. If a boat travels 46 miles downstream in the same time... (answered by Alan3354)

The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes (answered by stanbon)

The speed of a stream is 4 mph. A boat travels 11 miles upstream in the same time it... (answered by stanbon)