SOLUTION: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream it takes only 2/3 the distance in twice the time. What is the rate of the boat in still water, and what is t
Algebra.Com
Question 383218: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream it takes only 2/3 the distance in twice the time. What is the rate of the boat in still water, and what is the rate of the current?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = rate of current in mi/hr
Let = rate of boat in still water
= rate going downstream
= rate going upstream
given:
(1) mi/hr
(2) mi/hr
add (1) and (2)
and since
The rate of the boat in still water is 4 mi/hr
The rate of the current is 2 mi/hr
RELATED QUESTIONS
Traveling downstream, a boat can go 18 km in 2 hours. Going upstream, it makes only 2/3... (answered by ikleyn)
Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream, it makes only... (answered by mananth)
Traveling downstream, a boat can go 18km in 2 hours. Going upstream, it makes only 2/3... (answered by ewatrrr)
A boat takes 3 hours to go 12 miles upstream. It can go 18 miles downstream in the same... (answered by ikleyn)
A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same... (answered by ikleyn,josgarithmetic)
Traveling downstream, a boat can go 54 miles in 3 hours. Going upstream, it makes only... (answered by ankor@dixie-net.com)
A boat travels 27 miles downstream in 3 hours, and when traveling upstream it takes twice (answered by ankor@dixie-net.com)
A boat takes 3 hours to go 9 miles upstream. It can go 18 miles downstream in the same... (answered by josgarithmetic,lwsshak3)
A boat takes 3 hours to go 6 miles upstream. It can go 18 miles downstream in the same... (answered by stanbon)