SOLUTION: A boat can travel 24 mi in 3 h when traveling with a current. against the same current, it can travel only 16 mi in 4 h. find the rate of the current and the rate of the boat in st

Question 790966: A boat can travel 24 mi in 3 h when traveling with a current. against the same current, it can travel only 16 mi in 4 h. find the rate of the current and the rate of the boat in still water.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A boat can travel 24 mi in 3 h when traveling with a current. against the same current, it can travel only 16 mi in 4 h. find the rate of the current and the rate of the boat in still water.
***
let x=rate of boat in still water
let c=rate of current
x+c=rate of boat when traveling with the current
x-c=rate of boat when traveling against the current
..
traveling 24 mi in 3hr=8 mi/hr
traveling 16 mi in 4hr=4 mi/hr
..
2 equations:
8=x+c (with current)
4=x-c (against current)
add
12=2x
x=6
c=2
..
rate of boat in still water=6 mi/hr
rate of current=2 mi/hr
RELATED QUESTIONS
A motorboat traveling with the current went 48 mi in 2 h. Traveling against the current,... (answered by mananth)

A motorboat traveling with the current went 6 mi in 1 h. Against the current, it took 3 h (answered by checkley79)

A motorboat traveling with the current went 75 mi in 3 h. Against the current, it took 5... (answered by ikleyn)

A motor boat traveling with the current went 12 mi in 1 h. Against the current, it took 2 (answered by ankor@dixie-net.com)

A motorboat traveling with the current went 105 mi in 5 h. Traveling against the... (answered by josgarithmetic)

A small motor on a fishing boat can move the boat 6mph in calm water. When trolling in a... (answered by ewatrrr)

With Current, a motorboat travels 60 mi in 3 h. Against the current, it takes 2h longer... (answered by solver91311)

A motorboat traveling with the current went 60 mi in 3 h. Against the current, it took 5... (answered by scott8148)

A motor boat traveling with the current can go 36 mi in 2 hr. Against the current it... (answered by richwmiller)