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).
The price of one senior citizen ticket is 8$ and one student ticket is 12$.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the price of one senior citizen ticket = x
And the price of one student ticket = y
Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260
The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.
13x +13y = 260
13x + 9y = 212
Subtract the equation from first
13x +13y - (13x + 9y) = 260 - 212
4y = 48
y = 48/4
y = 12
Substitute the value of y in the equation 13x + 9y = 212
13x + 9(12) = 212
13x + 108 = 212
13x = 212 - 108
13x = 104
x = 104/13
x = 8
Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ1
The length of flag is 760 feet and width of flag is 320 feet
<em><u>Solution:</u></em>
A seed company planted a floral mosaic of a national flag
Since, the flag is generally of shape rectangle, we can use the formula of rectangle
Let "a" be the length of rectangle
Let "b" be the width of rectangle
The length is 440 ft greater than the width
Length = 440 + width
a = 440 + b ----- eqn 1
The perimeter of the flag is 2,160 ft
<em><u>The perimeter of rectangle is given as:</u></em>
Perimeter = 2(length + width)
Substituting the given values, we get
2160 = 2(440 + b + b)
2160 = 880 + 4b
4b = 2160 - 880
4b = 1280
b = 320
<em><u>Substitute b = 320 in eqn 1</u></em>
a = 440 + 320
a = 760
Thus the length of flag is 760 feet and width of flag is 320 feet
3/4 = 0.75
10.5 / 0.75 = 14 samples can be made.
Answer:
y=8
Step-by-step explanation:
12(3+y)=5(2y+8)
⇒36+12y = 10y+40
⇒12y-10y=40-36
⇒2y=16
⇒y=8
