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

When doing a throw in how many of your feet should be touching the ground.

Answers

1 of your feet should be touching the ground because when you throw you tend to put your foot up

Chase and sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. Determne If I were to buy 20 pieces of fudge and 20 pieces of bubble gum, it would cost me $

Answers

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Solve for Y
-2х + 4y = 16
а. y = 2х + 4
b. у = -2х + 4
с. y = 1/2 х + 4
d. y = 1/2 x - 4

Answers

the answer is c. y= 1/2x+4

is this a function? x

Answers

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

The correct answer is 2

The measure of an angle is 108°. What is the measure of a supplementary angle?

Answers

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

URGENT NEED HELP DUE IN 12 AM

Answers

Answer:

ASA

Step-by-step explanation:

you can prove it by using ASA (Angle Side Angle)

ASA is a postulate that states if two angles and one side are congruent to another triangle.

hope this helps :)

brainliest?

Answer:asa

Step-by-step explanation:

because it is lol

Complete the missing terms in the sequence
6, 3, 0,


,

Answers

Answer:

-3

Step-by-step explanation:

subtract 3

50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds

Answers

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

How to solve rolled dice problems?

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

Read more about Dice rolls at; https://brainly.com/question/2140973

#SPJ1

Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.

The amount of water needed to fill an above-ground swimming pool
The amount of medicine that would fill half a teaspoon
The amount of water that would fill a large cooking pot

Answers

Answer:

first one: liters seconds one: milliliters third one: liters

Liters

Milliliters

Liters

Liters are larger are milliliters

3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!

Answers

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

Find the slope when give. the following points : (1,6) and (3,-4)

Answers

Answer:

y = -5x + 11

Step-by-step explanation:

Slope (m) =

ΔY

ΔX=

-5

1

= -5

θ =  

arctan( ΔY ) + 360°

ΔX

= 281.30993247402°

ΔX = 3 – 1 = 2

ΔY = -4 – 6 = -10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?

Answers

Answer:

9 attendees

Step-by-step explanation:

1+4=5

46/5=9 R1 the slash is dividing it hope it help's

Answer:

9 attendees

Hope I helped

Can someone please help me

Answers

Answer:

z

Step-by-step explanation:

Z is the answer I hope it helped

I need help with is plz asap

Answers

Answer:

30

Step-by-step explanation:

Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer​

Answers

Answer:

10.6 hours

Step-by-step explanation:

You are making some chili and need some onions and peppers. One pound of onions costs $0.97 and one pound of peppers cost $1.30. What is the total cost of 0.76 pounds of onions and 1.5 pounds of peppers? The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is $

Answers

Answer:

The cost of  0.76 pounds of onion is  [tex]x = \$ 0.988  [/tex]

The  cost of  1.5 pounds  of  peppers is [tex] y = \$ 1.455[/tex]

The  total cost is [tex]z =  \$ 2.443  [/tex]

Step-by-step explanation:

From the question we are told that

  The  cost of one pound of pepper is  C = $0.97

   The cost of one pound of onion is  [tex]C_o = \$ 1.30[/tex]

   Generally the cost of 0.76 pound of  onion is mathematically represented as

      [tex]x =  \frac{0.76 * 1.30}{1}[/tex]

=>      [tex]x = \$ 0.988  [/tex]

   Generally the cost of 1.5pound of  peppers  is mathematically represented as

            [tex] y  =  \frac{1.5 * 0.97}{1}[/tex]

=>          [tex] y = \$ 1.455[/tex]

The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is

      [tex]z =  x+ y[/tex]

=>    [tex]z =  0.988 + 1.455 [/tex]

=>    [tex]z =  \$ 2.443  [/tex]

Identify the exponent in the following number: 2^5
A. 2
B. 5
C. 16
D. 32

Answers

Answer: 5

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Here, 2 represents the base and the  represents the exponent.

3/4 + 1/6z = 35/4 solve

Answers

z=48 hope this helps

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)

Answers

Answer:

y = 1/-2x + 0 or y = 1/-2x

Step-by-step explanation:

8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?

Answers

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.

Answers

Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?

Answers

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]

[tex]\Rightarrow 5b +1.5=4.5[/tex]

[tex]\Rightarrow 5b =4.5-1.5=3[/tex]

[tex]\Rightarrow b =\frac 3 5=0.6[/tex]

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times

Answers

Answer: a distribution with a known shape and other properties.

Step-by-step explanation: 10 dice rolled 1000 times

Answer:is below

Step-by-step explanation:

10 dice rolled 100 times

What is the answer please don’t make a fake answer that has already happened to me

Answers

Answer:

x=5, <E = 10°

Step-by-step explanation:

Since triangles ENP and DFM are congruent,

m<E = m<D

5x-15 = 2x

3x = 15

x = 5

<E = 5x-15 = 5*5 - 15 = 25-15 = 10°

Is y=1/4x a function

Answers

i sure is crosses through the orgin once straight through the middle plus its linear slope of 4

Simplify this equation (3√2)²​

Answers

Answer:

18

Step-by-step explanation:

It is 18. You cal simply solve it as it doesn’t have an unknown integer

Please send an answer quick I really need it the picture is above.

Answers

Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

Multiplying 2×1 3/7 is equal to how much

Answers

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

Help, please. I will give brainliest to anyone that answers first. ​

Answers

Answer:

5000 I think bc 5 times 1000 is 500

Answer:

Step-by-step explanation:

1000 meter = 1 kilometer

1 km= 1000 meter

constant proportionality

y/x=k

y is km , x is meter

1/1000=k

y=1/1000 x (x is the number of meters)

meter                              Km

250                                0.25

12                                   12/1000=0.012

1                                      1/1000

kilometer                      meter

5                                   5000

20                                20000

0.3                               300

1 3/4 cups of flour per 1/8 cup of milk

Answers

Answer:

14

Step-by-step explanation:

Divide them.

14. You have to divide them.
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