SOLUTION: a man can row 15 km downstream in 1 hour and upstream for the same distance in 3 hours.Using the same speed,how far can the man row in 3 hours in still water?

Algebra.Com
Question 938021: a man can row 15 km downstream in 1 hour and upstream for the same distance in 3 hours.Using the same speed,how far can the man row in 3 hours in still water?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
a man can row 15 km downstream in 1 hour and upstream for the same distance in 3 hours.Using the same speed,how far can the man row in 3 hours in still water?
let x=speed of rowboat in still water
let c=speed of current
x+c=speed of rowboat downstream
x-c=speed of rowboat upstream
travel time*speed=distance
..
3(x-c)=15
1(x+c)=15
..
3x-3c=15
x+c=15
..
3x-3c=15
3x+3c=45 (mult. eq. by 3)
add
6x=60
x=10 km/h=speed of rowboat in still water
how far can the man row in 3 hours in still water? 30 km

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Going upstream, his speed is km/hr
Going downstream, his speed is km/hr
Let = his speed rowing in still water
Let = the speed of the current
= his speed rowing upstream
= his speed rowing downstream
---------------------------------------
I can say:



km/hr
-----------------
Plug this back in:


km/hr
-------------------
In still water:


He can row 30 km in 3 hrs in still water
-------------------
check:



OK

RELATED QUESTIONS

A man can row downstream 18 km at the same time that he can row 10 km upstream. What is... (answered by scott8148)
hi can someone help me with this.. A man can row 12 miles upstream in a river and back (answered by lwsshak3)
a man who can row 4 miles per hour in still water finds that it requires 6 1/2 hours to... (answered by josgarithmetic)
A boat took 2 hours to travel a certain distance upstream against a 3 km/h current.... (answered by mananth)
A man who can row 4 miles per hour in still water finds that it requires 6 1/2 hours to... (answered by josgarithmetic)
a man can row 20 km downstream in the time it takes him to row 8 km upstream. he rows... (answered by lwsshak3)
a crew team can row 48 km downstream in 4 hours, but it takes 6 hours to row that same... (answered by josmiceli)
A crew of four practices rowing up a river, then back down for the same distance. The... (answered by mananth)
In two hours a man can row 26 km downstream but only 14 km upstream. The speed of the... (answered by vicgonzerx)