SOLUTION: A power boat can travel upstream on a river at 24km/h and downstream at 30km/h. How far upstream can it go if the round trip is to take 3 hours?
Question 212378: A power boat can travel upstream on a river at 24km/h and downstream at 30km/h. How far upstream can it go if the round trip is to take 3 hours? Found 2 solutions by drj, MathTherapy:Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! A power boat can travel upstream on a river at 24km/h and downstream at 30km/h. How far upstream can it go if the round trip is to take 3 hours?
Step 1. Let velocity of upstream be Vup=24km/hr and velocity downstream be Vdown=30km/hr.
Step 2. 3 = x+y or y=3-x where x = # of hours upstream, y = # of hours downstream.
Step 3. Distance traveled upstream = Distance traveled downstream where
Distance = Speed times Time
Let Dup be distance traveled upstream which is equal to 24x
Distance traveled downstream is 30y
But distances are equal for upstream and downstream.
and now substitute y=3-x
Step 4. Add 30x to both sides of equation to solve for x
Step 5. Divide 54 to both sides of equation.
time traveled upstream
distance traveled upstream
Step 6. The boat traveled a distance of 40 km.
I hope the above steps were helpful.
Good luck in your studies!
Respectfully,
Dr J
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.
You can put this solution on YOUR website! A power boat can travel upstream on a river at 24km/h and downstream at 30km/h. How far upstream can it go if the round trip is to take 3 hours?
Let distance upstream and downstream be D
Since it'll take 3 hours for the round trip, and since the boat's speed upstream and downstream are 24 and 30 km/h, respectively, we'll have:
------ Multiply equation by LCD, 120
9D = 360
Therefore, the distance upstream that the boat can go is km.
