Mathematics Middle School

Tom and Katherine live in different towns which are linked by a bike trail. They agree to meet for a bike ride, and both set off from home at the same time. Tom rides north at a speed of 14 mph and Katherine rides south at 10 mph. The bike trail between their homes is 42 miles long. How long will it be before they meet?

Answers

Answer 1

Answer:

We can start by using the formula:

time = distance / speed

Let t be the time (in hours) for Tom and Katherine to meet.

Tom's distance = Tom's speed x time = 14t

Katherine's distance = Katherine's speed x time = 10t

Since they are riding towards each other, the total distance they cover is the sum of their distances:

Tom's distance + Katherine's distance = 42 miles

14t + 10t = 42

Simplifying:

24t = 42

t = 42 / 24

t = 1.75 hours

Therefore, Tom and Katherine will meet after 1.75 hours of riding.

Answer 2
They will meet in 1.75 hours

Related Questions

PLEASE HELP!! ???? DONT KNOW THIS

Answers

Answer:

Here's the solution I created on Overleaf:

The answer is 29 I believe!

Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)

Answers

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Please hurry i need to bring my grade up before friday

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Answer:

Step-by-step explanation:

1+1 is about 3 so 3

Y=7/4x and I don’t know the y intercept

Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.

Answers

Answer: U'=8,5  V'=7,5  W'=6,10

Step-by-step explanation:

The Answer is U=8,5 V=7,5 W=6,10

please help i need this bad

Answers

Answer:

?

Step-by-step explanation:

(answer needs to be at least 20 words long)

2) 3 (2.999)
3) 3 (2.958)
4) 2.86 ( 2.815)
5) 2.95 ( 2.949)
6) 3.14 (3.144)
7) 2.84 ( 2.841)

What’s j+12=25 tape diagram

Answers

well you would take 25 and take 12 away. like this: 25-12=? so 25-12 would be 13. therefore j=13!
What is an Equation?

An equation is a mathematical statement that shows two mathematical expressions equal.

An equation consists a variable that does not have a fixed value to it.


Given,

j+12=25

Here ‘j’ is the variable.

To find ‘j’ we just need to 12 from 25.

So, 25 - 12 = 13

Hence, now we know that ‘j’ is equal to 13.


Proof :

13 + 12 = 25



Learn more about Equations here

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Hope my answer helps you✌️

Mark BRAINLIEST

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