Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer 1

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Answer 2

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

Know more about speed, time and distance,

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Related Questions

Use the number line to find the difference of 3 - (-1.5)

Answers

your answer is 4.5 you're welcome :-)

Answer:4.5

Step-by-step explanation:

the rule is

positive - negative  changes to positive + positive so

3- (-1.5) changes to 3 + 1.5 which equals 4.5

Divide x4+2x2−24
by x+2

Answers

[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]

[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]

solve pls brainliest

Answers

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

1240 at 8% compounded annually for 3 years

Answers

Answer:

1562.05

Step-by-step explanation:

A = P(1 + r/n)^(n*t)

A = 1240(1 + 0.08/1)^(3*1)

A = 1562.04288

A = 1562.05

will mark brainliest!!
A traveler can choose from 4 airlines, 10 hotels and 5 rental car companies. How many arrangements of these services are possible?

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200 arrangements of services

I WILL MARK BRAINLIST

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It’s the third choice

simplify 4h^j^-5k^7 ​

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Answer:

Answer in picture below

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4x + 4° + 4x - 32° = 180°
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8x = 180° + 28°
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x = 26°

ℎ(?=4?Ȓ12 ?ћ???=?Ď(?−18

Answers

Answer:

4

Step-by-step explanation:

just trust me

According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?​

Answers

Step-by-step explanation:

arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.

a1 = 3087 (that's our starting value)

a2 = a1 + 195

a3 = a2 + 195 = a1 + 2×195

an = a1 + (n-1)×195

a)

when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.

so, n = 1+20 = 21

a21 = a1 + 20×195 = 3087 + 20×195 = 6987

so, when he is 45 years old, his monthly salary will be RM6,987

b)

how many years (= how big is n) until he gets 8937 ?

8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =

= 3087 + n×195 - 195 = 2892 + n×195

6045 = n×195

n = 6045/195 = 31

so, a31 = 8937

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that means he will be 25+30 = 55 years old.

F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1

What is the remainder and is it a fraction?

Remainder: 0 or -2
Is it a factor: yes or no

Answers

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

What do I do?

Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets

So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.

So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.

Answers

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

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Answers

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3-3-2-2-2 written as a whole number​

Answers

Answer:

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Step-by-step explanation:

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solve pls brainliest

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Identify the sampling designs that use voluntary response sampling. Check all that apply.

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Answers

Answer: C, E, F

Step-by-step explanation:Got it right

A student would like to estimate the height of a statue. The length of the​ statue's right arm is 51 feet. The​ student's right arm is 2 feet long and her height is 5
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I got a.
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FEET

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(7x+19){}(x+1){}(x+5)

Answers

We move all terms to the left:

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We get rid of parentheses

7x-x-5-19=0

We add all the numbers together, and all the variables

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Answers

Answer:

The difference is 17 degrees.

Step-by-step explanation:

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Answers

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Answers

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Answers

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Hope this helps!

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Answers

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Step-by-step explanation:

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Answers

Answer:  7 goals

=====================================================

Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

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x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

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