Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?

Answers

Answer 1

Answer:

It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.

Step-by-step explanation:

Speed of Jane, [tex]v_1=3[/tex] mph

and the speed of Jillian, [tex]v_2= 5[/tex] mph.

Length of one complete circle = 8 miles.

Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.

Let the length covered by Jane via path OAP= x miles.

[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]

[tex]\Rightarrow t=x/3 \cdots(i)[/tex]

The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles

[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]

[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]

Now from equation (i) and (ii),

[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]

[tex]\Rightarrow 5x=3(8-x)[/tex]

[tex]\Rightarrow 5x+3x=24[/tex]

[tex]\Rightarrow x=3[/tex]

So, the distanc covered by Jane = 3 miles and

the distanc covered by Jillian = 8-3=5 miles

From equation (i), time taken, t = 3/3= 1 hour.

So, it will tale 1 hour before they meet.

As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.


Related Questions

Find the measure of the "?" or "X". Explain or show your

Answers

Answer:

66⁰ + x = 111⁰

x = 111⁰ - 66⁰

x = 45⁰

Answer:

First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.

So we can find 'y' by using 'linear pair'.

So Exterior angle 'E'+y=180 Degree.

=  111+y=180

By transposing: y=180-11

And y= 69 degrees.

And now have angles y & 'Angle G' we can use Angle sum property to find 'x'

ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"

THEREFOR, y+x+angle G=180 degrees.

=  69 degrees+66 degrees+x=180 degrees

=  135 degrees+x=180 degrees

by transposing,

x= 180 degrees-135 degrees

And, x= 45 degrees

ANOTHER METHOD:

BY USING EXTERIOR ANGLE PROPERTY.

ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"

So, Exterior Angle E= x+ Angle G

=  111 degrees= x+ 66 degrees

By transposing, x= 111 degrees-66 degrees

=  x=45 degrees.

So no matter whichever method is used, the value of x= 45 degrees.

A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh

Answers

60 times 0.30 = 18 - 60 = 42! Sorry if it’s wrong I tried

Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.

Answers

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

Which expression is equivalent to 1/4x+3−1/3x+(−2)?

Answers

Answer:

7/12x+5

Step-by-step explanation:

2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]

Answers

Answer:

i=52

ii=32

iii=54

iv=92

Step-by-step explanation:

Comment if you need explanation

Answer:

A. 3:2

B. 31 children

(i). 35 children

(ii) 53 adults

(iii) 111 adults 89 children

(iv) The value of x is 35.

Step-by-step explanation:

Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23

Answers

C cause if you have two side that are wide you need two 75.23 and if you have two longs you’ll need two 105.55 hope this makes sense :)

Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal

Answers

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

PLS!!!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

whats the product of (3-2i) and (7+6i)?​

Answers

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

help me. I'm not very good at math

determine whether the given is a rational equation, rational inequality,rational, function

y = × + 3

I will mark if anyone answer these

wrong or no respect will be report​

Answers

X=-3 I’m sure I’m right

PLEASE HELP and solve

Answers

its A.
The formula is y-y1 = m (x-x1) so by looking at just the slope, (slope is m) , since slope is -7, -7 should be placed where M is

Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades

Answers

Answer:

$4000, $5600 and $7200

Step-by-step explanation:

Let the money be 5x,7x and 9x.

Total collection of money is $16,800

ATQ,

5x+7x+9x=$16,800

21x=$16,800

[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]

So, the values are :

5x=5(800) = $4000

7x=7(800) = $5600

9x=9(800) = $7200

Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
a.(-7,0)
b.(4,0)
c.(4,4)
d.(1,4)
e.(1,0)
(-7,4)

Answers

Answer:

A (-7,0)

Step-by-step explanation:

I just drew it cause it's way easier than typing out :)

The perimeter of a rectangle is 22cm. The area is 28cm squared, what are the length of the sides?

Answers

I just need to fill 20 characters, the answer is right there on the sheet

what is $500,000,000 founded off to the nearest tenth​

Answers

Answer:

is this a real question???

Step-by-step explanation:

Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 times 3
80 divided by 3
3 divided by 80
80 minus 3

Answers

Answer: 80 times 3

Step-by-step explanation: Each serving is 80 calories so multiply to get the total.

Answer:

A

Step-by-step explanation:

80 x 3

can any one help me plz

Answers

She has 60in total and 10 pieces of cut ribbon

What is the equation of the line that passes through the point (-5,6) and has a slope of 0

Answers

y = 0x + 6 or y = 6
you substitute the points into the equation y=mx+b, m is the slope and b is the y-intercept. Solve for anything you need or missing from the equation. Original equation is y=mx+b so you only have to put in the m and b.

The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

Equations are expressions that related two or more expressions together using an equal sign.

The formula for finding the equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0) where:

m is the slope(x0, y0) is the intercept

Given the following

m = 0

(x0, y0) =  (-5, 6)

Substitute the given values into the formula

y - 6 = 0 (x - (-5))

y - 6 = 0 (x + 5)

y - 6 = 0

y = 6

Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

Learn more here: https://brainly.com/question/12441680

There are 20,000 animals in a zoo. There are 650 mammals and 225 reptiles that live in the zoo. what fraction of all the animals are a)reptiles b)mammals

Answers

Answer:

You have to simplify to the lowest common denominator

Step-by-step explanation:

650/20000=13/400 mammals

225/20000=9/800 reptiles

875/20000=7/160 mammals or reptiles

Hope this helped

Sofia has an action figure collection. She keeps 185 of the action figures on her wall, which is 37% of her entire collection. What is the total number of action figures in Sofia's collection?

Answers

Answer:

222

Step-by-step explanation:

Answer:

500 figures.

Step-by-step explanation:

We know that 185 figures is 37% of her entire collection.

Let c represent the total amount of figures.

Since 185 is 37% or 0.37 of her total collection, we can write the equation:

[tex]0.37c=185[/tex]

Remember that the keyword of tells us it's multiplication.

Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

[tex]c=\frac{185}{0.37}[/tex]

Evaluate. Use a calculator. So:

[tex]c=500[/tex]

Sofia's total collection has 500 figures.

i’ll mark brainlest !! (60 points )

Answers

Answer:

B and D are the answer's.

Step-by-step explanation:

A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?​

Answers

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

what is 9 1/2 - 5 7/12 =​

Answers

Answer:

47/12, or 3 11/12

Step-by-step explanation:

9 1/2 - 5 7/12 > convert to improper fractions

19/2 - 67/12

make same denominator (12)

19/2 * 6 = 114/12

114/12 - 67/12 = 47/12

Answer:

47/12

Step-by-step explanation:

19/2-5 7/12= 19/2- 67/12=47/12

10x^2-13x-3 how to factor

Answers

(2x-3)(5x+1)
That’s just kinda how math works man

1) what is the LCM of 3,5, and 10?


2)What are the numbers if the GCF of these numbers is 12?​

Answers

Answer:

1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12

Step-by-step explanation:

One taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?

HELP ME PLEASE ‼️‼️‼️

Answers

Answer:

Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:

What is a trinomial in a problem

Answers

A polynomial with three terms is called a trinomial. Trinomials often but not always! have the form x2 + bx + c. At first glance, it may seem difficult to factor trinomials, but you can take advantage of some interesting mathematical patterns to factor even the most difficult-looking trinomials.


It’s a lot but hopefully I help:)

Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25

Answers

Answer:

neither i think..

Step-by-step explanation:

Answer:

niether

Step-by-step explanation:

Choose a point that can be added so that the relation will remain a function.



{ (-3,9), (-2,4), (2,4), (3,9) }

A.
(-2,8)

B.
(1,9)

C.
(2,10)

D.
(-3,0)

Answers

its it c bc of the number u give

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

Step-by-step explanation:

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given : ∠1 + ∠2 = 90° ( complementary )

To Find : The value of x & the two angles .

And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .

On adding the two Angles their sum will be 90 ° since they are two complementary angles .

⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .

⇒ 22x + 2° = 90° .

⇒ 22x = (90 - 2)°

⇒ 22x = 88° .

⇒ x = 88°/22 .

x = 4° .

Hence the value of x is 4° .

So ,

First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .

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