SOLUTION: Traveling against the current, the scouts paddled 20 km in 6hrs. The return trip with the current took 1hr. less. Find the scout's rate of paddling in still water, and the rate of
Algebra.Com
Question 267333: Traveling against the current, the scouts paddled 20 km in 6hrs. The return trip with the current took 1hr. less. Find the scout's rate of paddling in still water, and the rate of the current.
Please and Thank you.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The equation for paddling against the current is:
The equation for paddling with the current is:
where
= speed paddling in still water
= speed of the current
-------------------------------
given:
km
km
hrs
hrs
------------------
Plugging in numbers:
(1)
and
(2)
------------------------
(1)
(2)
I'll multiply both sides of (2) by
(2)
(2)
Now add (1) and (2)
(2)
(1)
km/hr
From (2):
km/hr
In still water, they can paddle 11/3 km/hr
The speed of the current is 1/3 km/hr
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
RELATED QUESTIONS
Traveling against the current, the Scouts paddled 20km in 4 h. The return trip with the... (answered by ankor@dixie-net.com)
Alvin paddled for 5 hours with a 5 km/hour current to reach a campsite. The return trip... (answered by lwsshak3)
Alvin paddled for 2 hours with a 6-km/h current to reach a campsite. The return trip... (answered by richard1234)
A canoeist paddled 4 hours with a 6=km/h current to reach a campsite. The return trip... (answered by Abbey)
a canoeist Paddled For 4 Hours With A 6 Km/h Current To Reach A Campsite. The Return Trip (answered by mananth)
Paddled For 3 Hours With A 7 Km/h Current To Reach A Campsite. The Return Trip Against... (answered by mananth)
A canoeist paddled for 4 hours with a 6-km/h current to reach a campsite. The return trip (answered by mananth)
Alvin paddled for 3 hours with a 5-km/h current to reach a campsite. The return... (answered by josmiceli)
Fred paddled for 3 hours with a 5 km/hr current to reach a campsite. The return trip... (answered by checkley77)