1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
borishaifa [10]
3 years ago
11

Question 6

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0
So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km

now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"

bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast

when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast

now, recall your d =rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&108&b-r&3\\
downstream&108&b+r&2
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
108=3(b-r)\implies \frac{108}{3}=b-r\\
\qquad 36=b-r\implies 36+r=\boxed{b}\\\\
108=2(b+r)\implies 54=b+r\\
\qquad 54=\boxed{36+r}+r
\end{cases}

solve for "r"

what's b?  well, 36+ r = b
You might be interested in
zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age. What equation can be used t
PolarNik [594]
2m+3=23
2m=20
m=10
let me know in the comments if you need further explanation :)
5 0
3 years ago
Please help i will give crowns
gregori [183]
10/3 which is the same as 3 1/3
4 0
2 years ago
Read 2 more answers
What is the slope of the line that passes through (3,3) (7,6)?
dezoksy [38]

Answer:

3/4 i think

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
4 + 5x = 3 (-x + 3) -11
Salsk061 [2.6K]

Answer:

4 + 5x = 3 (-x + 3) -11

4+5x=-3x+9-11

5x+3x=9-11-4

8x= -6

x= -0.75

8 0
3 years ago
You are going running. For every mile you run, you burn 100 calories. In the graph and table below, m represents the number of m
Volgvan
I think you need to pit in a graph or draw one yourself, eat mile lable that you ran 100 miles and keep going
5 0
3 years ago
Other questions:
  • What is 29,678,900,522 in scientific notation?
    8·2 answers
  • ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show all
    13·1 answer
  • Determine which relation is a function.
    6·2 answers
  • Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
    14·1 answer
  • Write the equation of the circle with center (−3, −2) and (4, 5) a point on the circle.
    5·2 answers
  • Which of the following is a factor of 8x^3+1331
    15·2 answers
  • Does (-1, 5) make the inequality y < 3x + 8 true?
    10·2 answers
  • Look at 10 and 11 and 12 what do i put???
    15·1 answer
  • What is the remainder when (2x^3 - 5x^2 + 3x + 7) is divided by (x - 2)?
    12·2 answers
  • Find the value of c that completes the square.<br> n2- 26n + c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!