SOLUTION: A rowing team rowing with the current traveled 40 km in 4 h. Rowing against the current, the team rowed 8 km in the same amount of time. Find the rate of the rowing team in calm wa
Algebra.Com
Question 933810: A rowing team rowing with the current traveled 40 km in 4 h. Rowing against the current, the team rowed 8 km in the same amount of time. Find the rate of the rowing team in calm water and the rate of the current.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
boat speed =x km
current speed =y km
against current 4 hours
with current 4 hours
Distance against 8 miles distance with 40 km
t=d/r against current -
8.00 / ( x - y )= 4.00
4.00 ( x - y ) = 4.00
4.00 x - 4.00 y = 8.00 ....................1
40.00 / ( x + y )= 4.00
4.00 ( x + y ) = 40.00
4.00 x + 4.00 y = 40.00 ...............2
Multiply (1) by 4.00
Multiply (2) by 4.00
we get
16.00 x + -16.00 y = 32.00
16.00 x + 16.00 y = 160.00
32.00 x = 192.00
/ 32.00
x = 6.00 km/h
plug value of x in (1) y
4.00 x -4.00 y = 8.00
24.00 -4.00 -24.00 = 8.00
-4.00 y = 8.00
-4.00 y = -16.00 km/h
y = 4.00
boat speed 6.00 km/h
current speed 4.00 km/h
m.ananth@hotmail.ca
RELATED QUESTIONS
A rowing team rowing with the current traveled 12 km in 2 h. Rowing against the current,... (answered by josgarithmetic,ikleyn)
a rowing team rowing with the current, traveled 40km in 2 hrs. rowing against the current (answered by mananth)
A rowing team rowed with the current for 2 hours and travelled 40 Km. Rowing... (answered by Alan3354)
A rowing team rowing with the current travelled 24 km in 3 hours. Against the current,... (answered by ankor@dixie-net.com)
A rowing team rowing with the current traveled 20 kn in 2 hrs. Rowing against the... (answered by scott8148)
please explain this problem step by step. I am very confuse. seting up an equation in two (answered by ankor@dixie-net.com)
A rowing team rowed an average of 17.2 miles per hour with the current and 9.6 miles per... (answered by Alan3354)
a rowing team rowed an average of 15.8 miles per hour with the current and 9.4 miles per... (answered by lwsshak3)
A rowing team rowed 90 miles while going with the current in the same amount of time as... (answered by lwsshak3)