SOLUTION: I need your help with this problem.
A boat traveled 96 miles in 8 hours against the current. The boat returned to its starting point following the saame course traveling with
Algebra.Com
Question 23409: I need your help with this problem.
A boat traveled 96 miles in 8 hours against the current. The boat returned to its starting point following the saame course traveling with the current. The return trip took 5 hours. What is the speed of the current and the speed of the boat in still water?
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let y be the current and let x be the boat;s speed
8(x-y)=96 -----> 8x-8y=96 (equation 1 )
5(x+y)=96 -----> 5x+5y=96 (equation 2 )
Mutliply equation 1 by 5 -----> 40x-40y=480
Multiply equation 2 by 8 -----> 40x+40y=768
Add the equations:
80x=1248
x=15.6
5(15.6)+5y=96
78+5y=96
5y=18
y=3.6
Hence the speed of the boat is 15.6mph and the speed of the current is 3.6mph.
RELATED QUESTIONS
A boat traveled 96 miles in 8 hours against the current returned to its starting point.... (answered by dnanos)
A boat traveled 210 miles in 10 hours against the current. The boat then returned with... (answered by mananth)
A motor boat traveled 12 miles with the current, turned around, and returned 12 miles... (answered by checkley71)
A motor boat traveled 12 miles with the current, turned around, and returned 12 miles... (answered by checkley77)
A motor boat traveled 12 miles with the current, turned around, and returned 12 miles... (answered by stanbon,deborabr)
Hello i need you to help me with this problem, A boat traveled 21 miles upstream on a... (answered by josgarithmetic,ikleyn)
Hello! I'm having a hard time figuring out how to set up the equations for this problem:
(answered by josmiceli)
A row boat traveled 12 miles in 2 hours against the current. It traveled 18 miles in the... (answered by solver91311)
I need the work and the answer to this problem using the 4 step process:
A boat... (answered by stanbon)