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lesya692 [45]
2 years ago
11

Two trains leave stations 546 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour

while the other travels at 115 miles per hour. How long will it take for the two trains to meet?
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
6 0

<u>Answer:</u>

It will take 2 hours 36 minutes for the two trains to meet.

<u>Step-by-step explanation:</u>

The distance between the two trains is decreasing by 95+115= 210miles per hour, which can be written as \frac{210 miles}{1 hour}.

So at this rate, the distance between the trains will be reduced to zero in:

\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}

= \frac{546}{210} = 2.6 hours

Changing 2.6 hours to hours and minutes:

2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes

Therefore, it will take 2 hours 36 minutes for the two trains to meet.

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36 in the ratio of 2:3:4
Viefleur [7K]
The ratio of three numbers are 2:3:4.

Let the rational between the three numbers be x, hence the three numbers be 2x, 3x,and 4x.


If their average is 36, what are the numbers

We know the average = sum of the numbers / no. Of numbers.

(2x+3x+4x) /3=36

9x/ 3= 36

3x =36

X= 36/ 3

X= 12

The rational is 12

Answer the three number are 24, 36, and 48.



HOPE THIS HELP!!
5 0
2 years ago
What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.
devlian [24]

Answer:

The length of the diagonal of a poster board is 35.6\ in

Step-by-step explanation:

Let

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we know that

Applying the Pythagoras Theorem

x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in

4 0
2 years ago
Read 2 more answers
Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0
3 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!!!
djverab [1.8K]
The answer for your question is C. The reason is I multipled 15 and 6 which gave me 90 and that is closest to the answer C which is 72.73. Hope this helps:)
3 0
3 years ago
Find the value of x in 18 : 9 = 36 : x?
Misha Larkins [42]

Answer is B Step-by-step explanation:

18/9/ 36

36/ 2

18

8 0
2 years ago
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