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
Lisa [10]
3 years ago
7

A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat

e of the boat in still water.
Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c}  \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c

what's the speed of the boat?  well, 5 + c = b.
You might be interested in
Kiana walks from her house to Jo's house. She first walks west then walks south. How many blocks west does Kiana walk? How many
Gnoma [55]

Answer:

She goes from 4 to -4 west which is 8 blocks west

Then she goes south from +2 to -2 on the y axis which is 4 blocks south

4 0
3 years ago
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?​
Tamiku [17]

Answer:

3^81 is bigger

Step-by-step explanation:

3^81=4.43426488e38

9^27=5.8149737e25

3 0
2 years ago
Read 2 more answers
Arman needs 4 1/2 inches of cable to make A, 3 3/4 inches to make B, and 5 1/8 inches to make C. He used a 12-inch piece of cabl
Slav-nsk [51]

Answer:

1/15

Step-by-step explanation:

jdndmsnx

7 0
2 years ago
Read 2 more answers
Please answer<br><br><br>show working out please!!!!!!!!
Nikitich [7]
It's as easy as I solved it

7 0
2 years ago
Read 2 more answers
17 divided 8 times 5
Alina [70]

Answer:

10.625

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help please asap don’t know this question
    10·1 answer
  • Help I need an answer ASAP will give brainliest
    14·1 answer
  • why can you write a subtraction problem as an addition problem? How do you write a subtraction problem as an addition problem?
    9·1 answer
  • The coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0,−2) . What is the perimeter of th
    6·2 answers
  • PLEASE ANSWER ASAP !!!!!
    12·2 answers
  • Can you help meeee pls i dont understand this thanx
    10·2 answers
  • Chloe drew a triangle with side lengths of 30 centimeters, 24 centimeters, and 18 centimeters. Juan drew a triangle with side le
    8·1 answer
  • Challenge: Perla worked 4 hours at her job on Saturday and then spent $12.75, in the supermarket, on her way home. She worked 5
    8·1 answer
  • Area and perimeter please?
    10·1 answer
  • .After making his first deposit, Paul has $758 in his checking account. The next month,
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!