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
galina1969 [7]
3 years ago
6

a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of

the boat in still water and the speed if the current
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


You might be interested in
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
slega [8]

Answer:

p(x=0)=0.000008

p(x=1)=0.00176

p(x=2)=0.0576

P(x=3)=0.941192

Step-by-step explanation:

The probability of successfully classifying any given part is 0.98. There are 3 parts in total and the classifications are independent. The random variable is the number correctly classified parts out of the total 3.

                                                         {0,1,2,3,}

8 0
3 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
Multiply 9.25 x10⁴by 6.80 x10⁹
xeze [42]
92,500 x 6,800,000,000


6.29e+14


Mark brainliest please



Hope this helps you
6 0
3 years ago
11 1/9 - 3 2/3 step by step
svlad2 [7]

Answer:

11 1/9 - 3 2/3 = 7 3/9

Step-by-step explanation:

First you have to turn 2/3 into ninths which would be 6/9. Then you have to turn 1/9 into 10/9 by giving one whole and turning it into a fraction. Then you have to subtract 10/9 - 6/9 = 3/9. Finally you have to subtract the wholes 10-3= 7 then your answer would be 7 3/9

5 0
3 years ago
What are the solutions to the inequality?
denis23 [38]

(x - 3)(x + 5) \leqslant 0 \\ \begin{cases}x - 3 \geqslant 0 \\x + 5 \leqslant 0 \end{cases} \: \vee \: \begin{cases} x - 3 \leqslant 0\\x - 5 \geqslant 0 \end{cases} \\ \Leftrightarrow \begin{cases}x \geqslant 3 \\ x \leqslant  - 5\end{cases} \: \vee \:  \begin{cases}x \leqslant 3 \\x \geqslant   + 5 \end{cases} \\ \Leftrightarrow x\in\emptyset \: \vee \:  - 5 \leqslant x \leqslant 3 \\ \Leftrightarrow  - 5 \leqslant x \leqslant 3

8 0
3 years ago
Other questions:
  • Starting at sea level, a kingfisher flew to an elevation of 3714 feet. Spotting a fish below, the bird descended 4156 feet and c
    6·2 answers
  • Construct a square whose area is<br> 36 cm²
    12·1 answer
  • What is the answer to this?
    9·2 answers
  • Why is -1 3/8 a rational number but not a integer?
    14·1 answer
  • Pleaseeeee help for 10points !​
    12·2 answers
  • 3c - 8 = -14. Please answer with combining like terms. I need help. 10 points if you help.
    13·2 answers
  • 4(2 + 4x) please help
    15·1 answer
  • PLEASE ANSWER FAST<br><br><br> What is the value of x in the equation 3x - 5= - 2 + 9 ?
    11·2 answers
  • How does d transfer in y=(x-d)^2+7
    13·1 answer
  • Write a ratio for the situation in three ways, comparing the first quantity to the second quantity.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!