Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let b be the speed of the boat ; 
      c be the speed river's flow (aka current)

Remember that distance = speed x time

When the boat travels downstream, it goes with the current. Thus, its speed is increased.
The downstream travel is represented by the equation   
2 (b+c) = 64    (2 hours is the amount of time it traveled; 64 is the total distance traveled)

On the other hand, when it travels upstream, the boat goes against the current. Thus, its speed is decreased. This is shown by the equation
3 (b-c) = 54    (it took 3 hours to travel 54 km)

We now have a system of equation with two variables.

2b + 2c = 64     ––>     b + c = 32
3b - 3c = 54     ––>      b - c = 27
                                     2b      = 59

b = 59/2 = 29.5 
c = 2.5

Therefore, the rate of the river's flow is 2.5 km/hour
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts