Places A and B are 100km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in 10 hours and if they move in opposite directions, they meet in 1 hour and 40 minutes. Find the speeds of the cars.

Answers

Answer 1

Answer:

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Step-by-step explanation:

The calculation of speeds of the cars is given below:-

Assume that the speed of the 1st car which is opening from A = x km/hr

and assume the Speed of the 2nd car which is starting from B

= y km/hr  

As we know that

Time = Distance ÷ Speed

So, the distance lies between two places i.e.  A and B are

80km d = 80 km

1. now when the car moves in the similar  direction

So, the corresponding speed of them = (x + y)km/hr

Time = 8hr

d = 80km

[tex]8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)[/tex]

2. when two cars moving in the inverse direction,

So, the corressponding speed = (x - y) km / hr

Time = 1 hr 20 minutes

That means

= (1 + 20 ÷ 60) hr

= (80 ÷ 60)

= 4/3 hr

d = 80km

Now

4 ÷ 3 = 80 ÷ (x -y)

x -y = (80 × 3) ÷ 4

x - y = 60 ..... (ii)

Now, we will sum equation 1 and equation 2 we will get

2x = 70

x = 35

now, Put x = 35 in (i) we will get

y = 25

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr


Related Questions

In the data set #1 {75,95,80,65,85}, what is the range

Answers

30 because the range is the difference between largest and smallest number in the set. So 95-65

Answer:

The range is 30

Step-by-step explanation:

The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30

Multiply. ​4 1/3x3/5​ Express your answer in simplest form.

Answers

Answer:

2 3/5

Step-by-step explanation:

convert mixed number into improper fraction

(whole number × denominator + numerator over denominator)

4 × 3 + 1

12 + 1

13/3

13/3 × 3/5

multiply numerators

39

multiply denominators

15

39/15

3 can be divided into both number 39 and number 15 so:

13/5

this is simplest form as an improper fraction

if the teacher wants simplest form as a whole number, the answer is:

2 3/5

Answer:

4 1/3 X 3/5 = 2 3/5

Step-by-step explanation:

First I got 13/5 then I had to convert to 2 3/5.

Hope this helps!

help i dont understand this..

Answers

Answer:

the last one

Step-by-step explanation:

x=1.61y

since y is the amount of miles

and

x is in kilometers


The graph of a line in the xy-plane passes through the point (1, 4) and crosses the x-axis at the point (2.0). The
line crosses the y-axis at the point (0, b). What is the value of b?

Answers

Answer with step-by-step explanation:

The graph passes through both (1,4) and (2,0)

Thus it's slope is the difference of ordinates over difference of abscissae or -4

Thus the equation becomes y = -4x + b

This b is the required b

At x=2 ; y=0

Thus 0= -8 + b

b=8

kostas gets a four year bank loan to buy a new car that is priced at 20,987. after four years Kostas Will have paid the bank it’s total of $22,960. what interest rate did the bank give him if the interest was compounded monthly. Show your work .

Answers

Answer:

r = 2.04%

Step-by-step explanation:

r = n{(A/P)^1/nt - 1}

Where,

r = interest rate = ?

n = number of periods = 12

A = future value = $22,960

P = present value = $20,960

t = time = 4 years

r = n{(A/P)^1/nt - 1}

r = 12{(22,960/20,987)^1/12*4 - 1}

= 12{(1.09)^1/48 - 1}

= 12{(1.09)^0.02 - 1}

= 12 (1.0017 - 1)

= 12(0.0017)

= 0.0204

r = 0.0204 × 100

= 2.04%

r = 2.04%

Help please i’m struggling can someone please show me please

Answers

Answer:

the measure of angle 4 is 52 degrees.

Step-by-step explanation:

The measure of angles 3 and 4 added together is 90 degrees. Angle 3 is 38 degrees. 90-38=54.

Answer:

∠ 4 = 52°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180°, that is

90 + ∠ 3 + ∠ 4 = 180, substitute ∠ 3

90° + 38° + ∠ 4 = 180°

128° + ∠ 4 = 180° ( subtract 128° from both sides )

∠ 4 = 52°

what is the answer to this

Answers

Answer:

23

Step-by-step explanation:

3+3=6

6+2=8

8+4=12

12+2=14

14+2=16

16+1=17

17+2=19

19+2=21

21+2=23

Answer:23

Step-by-step explanation:

Helpppp please . Find the missing angle

Answers

Answer:

x=30

Step-by-step explanation:

x+90+60=180

x=180-150

x=30

Answer:

d-30

Step-by-step explanation:

100 points to whoever can answer this: A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. PLEASE SEND HELP I DO NOT UNDERSTAND THIS PROBLEM ALGEBRA IS SOOOOOO HARRRRD!!!!!!!!!!!!!!!!!!!!!!! thanks

Answers

Answer:

27*2/3=18

18*2/3=12

Step-by-step explanation:

I would look at the ratio of two terms

and the difference of two terms

to see if there might be a pattern

for example, 27, 18, 12

the difference between 27 and 18 is 9

the difference between 18 and 12 is 6

That is not a constant difference.

Let's try ratios:

27/18 = 1.5

18/12 = 1.5

that looks promising... we get the same ratio

so on the next bounce, expect

18/x = 1.5

maybe it's easier if we flip the ratio 1.5 (3/2) to 2/3 and so

18= 2/3 * 27

12= 2/3* 18 = 2/3 * 2/3 * 27

If we try to make a pattern

first peak = (2/3)^0 * 27

2nd peak = (2/3)^1 *27

3rd peak = (2/3)^2 * 27

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Write the slope of 4x + 5y = -5​

Answers

Answer:

4

Step-by-step explanation:

the number before x is the slope

^^^^^^^^^^^^^^^^^^^^^^^^

4 is the answer your welcome

help! this is urgent!

Answers

Answer:

A

Step-by-step explanation:

because if you put A into a calculator it equals 81.

hope this helps

Answer:

81 is the perfect square of the first option

Step-by-step explanation:

It is asking for the perfect square so the third option will be eliminated because that is cubed.

The fourth option will also be eliminated because it is multiplication.

The second option will be eliminated because it has addition.

81 is the perfect square of the first option

Hope this helps!

A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money would he have spent? sheets 6 12 money 9 x (12)(6) = 6x 108 = 6x 108 = 6x 6 6 18 = x

Answers

Answer:

$18

Step-by-step explanation:

we proceed by first solving for the unit cost of a sheet

then calculate the cost for any number of sheet

We are told that a builder could buy 6 sheets for the cost of $9

this means that one sheet would cost 9/6= $1.5

Now the builder buys 12 sheets

therefore the cost of 12 sheets will be

12*1.5= $18

Name an irrational number ( in radical form ) located between 7 and 8. Explain your answer.

Answers

Answer:

[tex]\sqrt{59}[/tex]

Step-by-step explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so [tex]\sqrt{59}[/tex] is an irrational number between 7 and 8

How do I get 8.25 x 6.75 with explanation or picture PLS ASAP

Answers

First you do 825 x 675 which is 556875
So in 8.25 there are 2 decimal places
And same in 6.75
So we add up the decimal places to get 4
And aply to 556875
So answer will be 55.6875

A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.

Answers

Remember from now on :

E = 10

Let's solve now....

[tex]1.16 \times {10}^{ - 7} = [/tex]

[tex]116 \times {10}^{ - 9} = [/tex]

[tex]0.000000116[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Ma smith invested $1240 more in stock A than in stock B if she invested a total of $6000 in the two stock How much did she invest in stock A?

Answers

Answer:

stream walls by louis tomlinson on itunes

Step-by-step explanation:

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Answers

Answer:

The scale factor is 1/4

Step-by-step explanation:

Here, we are interested in finding the scale factor that helped convert the first point to the second.

Hence, what turned (8,12) to (2,3)

What we shall do here is to simply divide term 2 by term i.e

That would be 2/8 or 3/12 = 1/4

The scale factor was 1/4.

Given that,

The point (8, 12) was dilated to become point (2, 3).

We have to determine,

What was the scale factor?

According to the question,

Scale factors are closely related to the concepts of ratio and proportions.

In ratio and proportions, we multiply or divide a given amount to form a new quantity.

The point (8, 12) was dilated to become point (2, 3).

Therefore,

The scale factor was,

[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]

Substitute the points in the formula for the x-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

And substitute the points in the formula for the y-axis,

[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]

Hence, The scale factor was 1/4.

For more details refer to the link given below.

https://brainly.com/question/8765466

What has been the best method for you to learn mathematics?

Answers

Answer: Here are some steps that help you learn and master math quickly:

Engage With the Subject.

Start From the Basics.

Develop Number Sense Rather Than Memorizing.

Have a Goal in Mind.

Answering Practice Questions Is Crucial.

Keep Track of Math Vocabulary.

Tricks and Tips to Learn Math Easily.

Master Problem Solving.

Step-by-step explanation:

Listen carefully to person who teach you to make the lesson catch up in your mind and heart. Then answer in a nice way and think the lesson that teach you about mathematics.


2. Which part of the triangle is always directly
opposite the right angle?

Answers

Answer:

So BASically

A triangle has 3 sides

One is the hypotenuese

The other is the Base

and the last one is perpendicular

Step-by-step explanation:directly

opposite the right angle is The HYPOTENUESE

Answer:  Hypotenuse

For any triangle, the longest side is always opposite the largest angle. The largest angle of a right triangle is always the 90 degree angle. If you had any larger angle, then the triangle wouldn't be a right triangle and instead it would be obtuse.

In a right triangle, the longest side is given the special name hypotenuse. The other sides of a right triangle are called the legs.

Elijah needed to dig a row along a fence that was 5 feet long. He was able to dig all but 42 inches of the row before dark.

How many inches was he able to dig before dark?

Answers

Answer:

18 inches

Step-by-step explanation:

5x12=60

60-42=18

18 inches is the correct answer

A bottle of power drink costs $2.25. Which graph represents the relationship between the number of bottles and the total cost?

Answers

Answer: it’s c

Step-by-step explanation:

edg 2020

Answer:

C-the third picture!!

Step-by-step explanation:

​The radius of the circle shown below is 3 inches.
​What is the area of this circle, in square inches?
​​

Answers

Answer:

the area = 28.27 or you can write the answer out as 28.2744 or also 28.27433

Step-by-step explanation:

start with what we know. the formula for solving this is A=pi R squared

so, area= pi (3.1416)

then, multiply that by the radius given, which is 3.

So, 9.4248 × 3 = 28.2744 square inches

or 28.27 sq.in.

HOPE THIS HELPS... HAVE A GREAT DAY!!

what is the measure of 9?​

Answers

180 or 90
Hope this helps

If p(x)=(3x+2)(2x−3), what are the zeros of the polynomial?

x=-23 and x=32

x=23 and x=-32

x=-2 and x=3

x=2 and x=-3

Answers

Answer:

Option A is the correct answer. ; x=-2/3 and x=3/2

Step-by-step explanation:

We have been given that p(x)=(3x+2)(2x−3) is a polynomial.

According to the question's statement, Question asks us to find the zeros of the polynomial.

Let's head to the question in order to get required answer.

p(x)=(3x+2)(2x−3)

=> p(x) = 3x(2x-3) + 2(2x-3)

=> p(x) = 6x² - 9x + 4x - 6

=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)

Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).

p(x) = (3x+2)(2x-3)

=> 0 = (3x+2)(2x-3)

=> (3x+2) = 0 or (2x-3) = 0

=> x= -2/3 or x = 3/2

Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.

What is the Y intercept of a line that has a slope of three and Pacitti the points -1 and -7

Answers

Answer:

The y-intercept is -4.

Step-by-step explanation:

y = mx + b

-7 = 3(-1) + b

-7 = -3 + b

b = -4

I apreciate your help thanks. ​

Answers

Answer:

i think its A

Y = -(X +5) + X +4 if X = -4, Y = ?

Answers

Answer:

y=-1

Step-by-step explanation:

The temperature at the base of the mountain was 14°F. The temperature at the summit was 16°F lower
than the base. What was the temperature at the summit?

Answers

Answer:

-2°F

Step-by-step explanation:

12-16=-2

14-16 = -2
the temperature at the base will be -2

Which expression is equivalent to −2412+16.15−4?

Answers

Answer:

a respuesta

Step-by-step explanation:ah después a ver más -2399.85

solve the inequality for u
70 > 3u+13

Answers

Answer:

u<19

Step-by-step explanation:

70 > 3u+13

you subtract 13 to both sides

which will give you 57

then you divide 3 and 57

leaving you of with 19

so your answer will be u<19

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