# Thread: Algebra 2 Word Problem #2

1. ## Algebra 2 Word Problem #2

1.) The speed of a stream is 5 mph. If a boat travels 82 miles downstream in the same time that it takes to travel 41 miles upstream, what is the speed of the boat in still water?

THANK YOU!

2. Originally Posted by kelsikels
1.) The speed of a stream is 5 mph. If a boat travels 82 miles downstream in the same time that it takes to travel 41 miles upstream, what is the speed of the boat in still water?

THANK YOU!
basic idea for setting up equations is (rate)(time) = distance

let $v$ = speed of the boat in mph with no current

downstream ...

$(v+5)t = 82$

upstream ...

$(v-5)t = 41$

solve the system for $v$