SOLUTION: A boat takes 3 hours to go 42 miles downstream with the current. It takes 4.2 hours to go 42 miles upstream against the current. What is the speed of the current? What is the speed
Algebra.Com
Question 590190: A boat takes 3 hours to go 42 miles downstream with the current. It takes 4.2 hours to go 42 miles upstream against the current. What is the speed of the current? What is the speed of the boat?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A boat takes 3 hours to go 42 miles downstream with the current. It takes 4.2 hours to go 42 miles upstream against the current. What is the speed of the current? What is the speed of the boat?
**
let x=speed of the boat
let c=speed of the current
net speed with current=x+c
net speed against current=x-c
speed=distance/travel time
..
(x+c)=42/3=14
(x-c)=42/4.2=10
..
x+c=14
x-c=10
add, eliminating c
2x=24
x=12
c=14-x=14-12=2
ans:
speed of the boat=12 mph
speed of the current=2 mph
RELATED QUESTIONS
A boat takes 4 hours to go 44 miles downstream with the current. It takes 8.8 hours to go (answered by josmiceli)
A motorboat can go 48 miles downstream on a river in 1 hour. It takes 1.5 hours for this... (answered by ewatrrr)
A boat takes 5 hours to go 25 miles upstream. It can go 50 miles downstream in the same... (answered by Boreal)
motorboat traveling with the current can go 24 miles in 2 hours. Against the same... (answered by checkley77)
A boat takes 2 hours to go 4 miles upstream. It can go 8 miles downstream in the same... (answered by ikleyn,josgarithmetic)
it takes a boat 9 hours to go a distance of 270 miles against the current and 3 hours to... (answered by stanbon)
A boat takes 3 hours To go 24 miles upstream. It can go 36 miles downstream in the same... (answered by josmiceli)
A boat takes 4 hours to go 16 miles upstream. It can go 32 miles downstream in the same... (answered by richwmiller)
A boat takes 4 hours to go 12 miles upstream. It can go 32 miles downstream in the same... (answered by josgarithmetic)