SOLUTION: A college crew team can maintain a speed equivalent to 15 km/hr in still water. If it takes the team 50 minutes to row 6 km upstream and back, what is the rate of the current in th
Algebra.Com
Question 439292: A college crew team can maintain a speed equivalent to 15 km/hr in still water. If it takes the team 50 minutes to row 6 km upstream and back, what is the rate of the current in the river?
my teacher gave me the answer 3km/hr but i cant figure out how to set it up. could you also explain as you go through? thank you very much :D
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A college crew team can maintain a speed equivalent to 15 km/hr in still water. If it takes the team 50 minutes to row 6 km upstream and back, what is the rate of the current in the river?
-----------------
upstream DATA:
distance = 6 km ; rate = 15-c ; time = d/r = 6/(15-c) hrs.
-------------------
downstream DATA:
distance = 6 km ; rate = 15+c ; time = d/r = 6/(15+c) hrs
-----
Equation:
time + time = (5/6) hr
6/(15-c) + 6/(15+c) = (5/6) hr
-----
6*6(15+c) + 6*6(15-c) = 5*(225-c^2)
1080 = 5(225-c^2)
216 = 225-c^2
c^2 = 9
Positive solution:
c = 3 km/hr (speed of the current)
====================================
Cheers,
Stan H.
==============
my teacher gave me the answer 3km/hr
RELATED QUESTIONS
a crew team can row 48 km downstream in 4 hours, but it takes 6 hours to row that same... (answered by josmiceli)
It took a crew 6 h 24 min to row 6 km upstream and back again. If the rate of flow of the (answered by ankor@dixie-net.com)
SOLVE USING DETERMINANTS and CRAMER'S RULE
A team of rowers can row 4 kilometers... (answered by pjalgeb)
It took a crew 2.75 hours to row 6 km upstream and back again (6 km one way ). If the... (answered by ankor@dixie-net.com)
a crew of eight can row 20 kilometers per hour in still water. The crew rows upstream... (answered by ankor@dixie-net.com)
It took a crew 1 h 12 min to row 1 km upstream and back again. If the rate of flow of the (answered by nihar*2013)
It took a crew 4 h 30 min to row 8 km upstream and back again. If the rate of flow of the (answered by richwmiller)
It took a crew 1 h 4 min to row 1 km upstream and back again. If the rate of flow of the... (answered by richwmiller)
It took a crew 8 h 32 min to row 8 km upstream and back again. If the rate of flow of the (answered by ankor@dixie-net.com)