A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer 1

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.


Related Questions

Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W

Answers

Answer:

D.

Step-by-step explanation:

D. 60 + 12w = 95 + 7W

A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?​

Answers

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies

Answers

29,930 is the correct answer

the number of minutes joe and his friends spent watching movies are 4920 minutes.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.

Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -

[x] = 41 x 2 x 60

[x] = 41 x 120

[x] = 4920 minutes.

Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Find the unit rate of miles per gallon for these vehicles

Sedan:
Minivan:
Truck:

Answers

Answer:

Sedan: 18

Minivan:19

Truck: 16

Step-by-step explanation:

Got it right on edge

If you don't trust me sorry but i got it right

Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?

Answers

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds

Answers

Answer:

8034

Step-by-step explanation:

C'mon!!.... easyyyy

309x26 =8034

Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV

Answers

3x-4y=16

add 4y to both sides

3x=4y+16

divide both sides by 3

x=(4y+16)/3

Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours

Answers

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

Absolute value is DISTANCE. How many units a number is away from zero.

a.) 3
b.)4
C.) -3
d.) -4

Answers

I believe it is B) 4

The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°​

Answers

Answer:

A

Step-by-step explanation:

Answer will be
D. 130

can someone explain to me how to do this

Answers

Answer:

x=45

Step-by-step explanation:

We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.

Answer:

y = 18

x = 46

measures of the angles:

8y - 102 = 42

2y + 6 = 42

3x = 138

Step-by-step explanation:

So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is,  they will have the same measure.

Using this we know that opposite angles have to be congruent:

so

(2y + 6) = (8y -102)

now there is an algebra equation that can be solved by inverse operations and simplifying

2y + 6 = 8y - 102

    +102      +102

2y + 108 = 8y

-2y             -2y

108 = 6y

/6        /6

18 = y

Also, remember that two adjacent angles that form a line will add up to 180,

so

3x + (2y + 6) = 180

*note: I could have also used (8y - 102) but I choose to use (2y + 6)

so now substitute in the value of y that was found

y = 18

3x + (2 * 18 + 6) = 180

simplify

3x + ( 36 + 6) = 180

3x + 42 = 180

now use inverse operations

3x + 42 = 180

     -42     -42

3x = 138

/3      /3

x = 46

please help me with this.

Answers

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

I need help with this pleaseee

Answers

Correct answer For this solution is c


Simplify the following expression,
(5^2)^-1

Answers

the answer is 1/25 because u square 5 which is 25. since u can’t have negative exponents on top u move the term to the bottom so the top would just have a place holder of 1.

how do you convert fractions to decimals?​

Answers

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?

Answers

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.

Can someone please help me?

Answers

Answer:

4

Step-by-step explanation:

It is 4 because there are 4 pea pods with 3 peas in each pod.

Answer:

2

Step-by-step explanation:

Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2

Answers

Answer:

4x² - 1

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

put these numbers in descending order
75%

2/5

0.84

2/3

Answers

I think its

2/5 2/3 75 0.85

help me .................

Answers

Answer:

Perpendicular

Step-by-step explanation:

the slope of b is -3/4 and the slope of a is 4/3

Answer:

Perpendicular

Step-by-step explanation:

The lines are perpendicular because they meet at a right angle (90 degrees).

x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps​

Answers

this photo which I attached is steps of solution and the answer.

You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9

Answers

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?

Answers

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

             

Which word signals a sequence text structure?

both
finally
similarly
since

Answers

Answer:

its finally sorry it tooke so long

Step-by-step explanation:

Answer:

The answer is finally.

Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.

OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1

Answers

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

help me plz my grade a f

Answers

Answer:

100%

Step-by-step explanation:

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