1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rasek [7]
3 years ago
7

Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train

is 3mph greater than the speed of the eastbound train. After 3 hours, they are 468 miles apart. Find the rate of each train. Assume that the trains travel in a straight line in directly opposite directions
Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Answer:

<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Eastbound train speed = x

Westbound train speed = x + 3 miles per hour (The speed of the westbound train is 3mph greater than the speed of the eastbound train)

Duration of trip = 3 hours

Distance between trains after 3 hours = 468 miles

2. Let's find the speed of each train, using the following equation:

3x + 3(x + 3) = 468

3x + 3x + 9 = 468

6x + 9 = 468

6x = 468 - 9 (Subtracting 9 at both sides)

6x = 459

x = 459/6 (Dividing by 6 at both sides)

x = 76.5 miles per hour

<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>

3. Proof that x = 76.5 is correct

3x + 3(x + 3) = 468

3 (76.5) + 3 (76.5 + 3) = 468

229.5 + 238.5 = 468

<u>468 = 468</u>

<u>The value of x = 76. 5 is correct. And now we know that the  Eastbound train has traveled 229.5 miles since the departure from Cleveland and the Westbound train 238.5 miles.</u>

You might be interested in
I need help with finding the equilibrium prices for each one in the table below. I can't seem to understand how to do it. Please
Neporo4naja [7]

Answer:

it might be $0.85 19 i think not 100% sure plz doint report me

Step-by-step explanation:

3 0
3 years ago
What is 50% of $68? Show all of your work. Use the percent proportion model shown below to set up the equation before you calcul
Natali5045456 [20]

Answer:

$34

Step-by-step explanation:

50% is half of 100%

(Because 50% x 2 = 100%)

Thus, half the money ($68) to find 50%.

So, 68÷2 = 34

Final answer is $34

Or

50/100 x $68 =$34

Hope this helps!

6 0
2 years ago
Beulah used 3/5 pounds of dough, 3/4 pound of sugar, &amp; 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
4 years ago
What is 1 plus 1 ??z.z.z.z.
Setler [38]

Answer:okkkkk

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The complement of an angle is 25 less than 3 times the angles itself. Find the measure of each
Semenov [28]

Answer: 28.75° and 61.25°

Step-by-step explanation:

A complementary angle equals 90°.

Let the measure of the angle be a

Therefore, its complement will be:

= 90-a.

The complement of an angle is 25 less than 3 times the angles itself can be written as:

90-a = 3a - 25

90 + 25 = 3a + a

115 = 4a

a = 115/4

a= 28.75

Since the angle is 28.75°, the complement will be:

= 90° - 28.75°

= 61.25°

The angles are 28.75° and 61.25°

6 0
4 years ago
Other questions:
  • the vertex of this parabola is at (-3,-1). when the y-value is 0, the x-value is 4. what it the coefficient of the squared term
    15·2 answers
  • Please help!
    6·2 answers
  • flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 15 feet mor
    13·1 answer
  • A sea turtle swims at a speed of 27 km per h. A girl swims 14 dm per s. How much faster does the sea turtle swim than the girl i
    15·1 answer
  • Events A and B are mutually exclusive. Suppose event A occurs with probability .33 and event B occurs with probability .38.
    12·1 answer
  • Please help meeee I’ll do anything
    6·2 answers
  • Can I please have some help?
    11·1 answer
  • You roll two 6-sided dice.
    7·1 answer
  • PLZ HELP CORRECT ANSWER WILL GET BRAINLIEST
    10·2 answers
  • Jim drove a total distance of 137,702.4 on a race track. He drove 16 laps, where each lap was the same length. What was the leng
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!