A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?

Answers

Answer 1

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).


Related Questions

Pleas help!

WILL THANKS YOUR ACCONT and MARK BRAINLIEST

Answers

The answer is open circle arrow going to the left. I hope this helped! :)

Find the midpoint
(1,-8) (-7,0)

Answers

Answer:

(-3, -4)

Step-by-step explanation:

Handy fact: the average of two numbers is exactly halfway between them.

To find the midpoint, average the x-coordinates; average the y-coordinates.

(1 + -7)/2 = -6/2 = -3

(-8 + 0)/2 = -8/2 = -4

The midpoint is (-3, -4).

3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction

Answers

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

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

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

Can someone help me with this ?

Answers

you already clicked on the correct answer, i used a calculated. hoped this helped:)

hey! i’ll give brainliest please help

Answers

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

PLEASE HELP ASAP FAST HURRY

The graph below shows the relationship between the number of tickets sold for a music concert and the amount of money collected from the sale of the tickets. (1 pt.)



Which equation represents the relationship between the tickets sold (t) and the money collected (c)?

Answers

Y=3/1x For every ticket sold, three dollars are earned.

which number line shows the solution to fx-5 > 3?
9 10 11
12
13
14 15
9 10 11
12 13
14 15
+++
-6 -5 -4
-3
-2
-1
-6
-5
-4
-3
-2 -1
Dorie

Answers

Answer:

8

Step-by-step explanation:

send the -5 to where the +3 is then you can now add the value together.

I keep getting the wrong answers someone help please.

Answers

Answer:

1. 8.9

2. 14.5

3. 10.3

4. 18.8

5. 8.0

6. 15.0

(All to the nearest tenth)

The code is the sum of all missing sides

So adding all

=75.5

25+35j+55p

Answer factorised

Answers

Answer:

[tex]5(5+7j+11p)[/tex]

Step-by-step explanation:

Factor 5 out of  25  +  35j  +  55p.

Answer:

[tex]5(5 + 7j + 11p)[/tex]

Step-by-step explanation:

[tex]25 + 35j + 55p \\ [/tex]

factor 5

5 × 5 = 25

5 × 7 = 35

5 × 11 = 55

[tex]\boxed{Answer:{\boxed{\green{5(5 + 7j + 11p)}}}}[/tex]

Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu

Answers

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Which expression is equivalent to the expression 512^1/4÷4^1/8−(10−32^1/5)?


ANSWERS:

A: 2^5/2-8

B:-6

C: -4

D: 2^9/4
---------
2^1/4-8

Answers

Answer:

2^5/2-8 may equivalent

Can someone help me with this thank you

Answers

Area is 30 you just do b(h) base is 10 and height is 3

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm

An angle has a reference angle of 40° in the third quadrant what is a positive measure of the angle and a negative measure of this angle

Answers

Answer:

2, probably

Step-by-step explanation:

Find the area of the isosceles triangle

Answers

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

To find the area of the triangle you first have to find the height. To do this we are using Pythagoras theorem.

h^2 = 20^2 - 16^2
h = 25.6cm

Then find area using 1/2 x b x h

32/2 x 25.6 = 409.6cm^2

help me pls no links or files if u answer correctly u get brainless hurry

Answers

Answer:

72 ft^2

Step-by-step explanation:

A = bh

A = 12 ft * 6 ft

A = 72 ft^2

Answer:

72

Step-by-step explanation:

you have to do base times height

What is the length of side c rounded to the nearest tenth of an inch?
17 in.
19 in.
С
The length of side c rounded to the nearest tenth of an inch is in.

Answers

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

What is a formula for the nth term of the given sequence? 300, 180, 108...

Answers

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

Taylor invested $2500 in an account that pays 3.7% interest compounded monthly. If Taylor does not touch the money, what will the balance of the account be after 7 years?

Answers

Answer:

hehe

Step-by-step explanation:

find the diameter of a circle with the circumference of 10cm

Answers

How to find the radius of a circle with a circumference of 10 centimeters? To find the radius of a circle with a circumference of 10 centimeters, you have to do the following: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter, 3.18 centimeters.

Can someone please tell me the answer and explain how to do this, no links please thank you

Answers

If this is work out the gradient then here:

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

Equation of a gradient is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

6. Find the sum of the geometric series.
a1=-9 a5=-729 r=-3

Answers

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

n is the number f terms

r is the common ratio

An = -9(1-(-3)^n)/1-(-3)

Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

HELP PLZZZ IF YOUR JUST SCROLLING HELP MEE ITS IT A OR B

Answers

Its not a multiple choice question. Its just a part A and B. All you have to do is read and do what it says lol

PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Two-third of the jar is filled with flower
Hope this helped

PLEASE HELP WITH GEOMETRY!!

Answers

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

can someone help me with this problem ​

Answers

Answer:

x = 3

Step-by-step explanation:

5(5 + 19) = 6(6 + 4x + 2)

5(24) = 36 + 24x + 12

120 = 48 + 24x

72 = 24x

x = 3

PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL​

Answers

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Plzzzz helpppppppp!!!!!

Answers

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

What are the solutions to the equation x² + 16x + 14 = 0?

Answers

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

is "6x – (3x + 8) = 16x" a no solution​

Answers

Answer:

no  x = -8/13

Step-by-step explanation:

6x – (3x + 8) = 16x

Combine like terms

6x -3x -8 = 16

3x-8 = 16

Subtract 3x from each side

3x-8-3x = 16-3x

-8 = 13x

Divide by 13

-8/13 = 13x/13

-8/13 =x

Answer:

No, the answer would be -8/13

Step-by-step explanation:

6x-(3x+8)=16x

6x-3x-8=16x

3x-16x=8

-13x=8

x=-8/13

Solve graphically: 2x - y = 7 and x - 2y = 5.

Answers

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

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