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dem82 [27]
2 years ago
9

Two trains leave towns 1542 kilometers apart at the same time and travel toward each other. one train travels 11 km/h slower tha

n the other. if they meet in 6 hours, what is the rate of each train?
Rate of the slower train:

Rate of the faster train:
Mathematics
1 answer:
Sauron [17]2 years ago
8 0

Answer:

Slower trains: 123 km/h

Faster train: 134 km/h

Step-by-step explanation:

In order to solve this problem, one must know the following formula:

speed*time=distance

The problem gives one the following information:

  • There are two trains heading towards each other, one is (11 km/h) faster than the other.
  • There are (1542 km) between the two trains.
  • It takes 6 hours for the two trains to meet each other.

Let (speed_1) represent the speed of the slower train and (speed_2) represent the speed of the faster train.

One can form an equation, let (x) represent the speed of the slower train. Using the distance equation, one can state that the speed of each train times the travel time equals the distance. Since the trains met each other in (6) hours, and the combined distance traveled between the two trains is (1542 km); one can use this information to form an equation.

(travel\ time)(speed_1)+(travel\ time)(speed_2)=distance

Substitute,

6(x)+6(x+11)=1542

Simplify, distribute, multiply every term inside of the parenthesis by the term outside of it. Then combine like terms,

6x+6x+66=1542

12x+66=1542

Inverse operations,

12x+66=1542

12x=1476

x=123

Solve for the speed of the faster train. It is given that it is (11 km/h) faster than the slower train.

speed_1+11=speed_2\\123+11=speed_2\\134=speed_2

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Second, simplify. / Your problem should look like: 7x^{3} - 3x^{2} + x

Answer: 7x^{3} - 3x^{2} + x

7 0
3 years ago
A plumber charges $35 to make a house call, plus $25 an hour for labor. The following equation represents f(x), the total cost o
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The correct answer is A. Number of hours worked

Explanation:

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Moreover, in equations, the factor that changes and can affect others is known as the independent variable. This means the number of hours can be classified as the independent variable because this is not fixed and affect other variables including the total cost.

5 0
3 years ago
The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?
storchak [24]
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6 0
2 years ago
Write with fractional exponents.
marusya05 [52]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

y^\frac{2}{3}

»»————- ★ ————-««  

Here’s why:  

  • We are supposed to rewrite a radical expression as an expression with fraction exponents.

⸻⸻⸻⸻

The rule for a fraction exponent is:

a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}

⸻⸻⸻⸻

We are given the expression of \sqrt[3]{y^2}.

⸻⸻⸻⸻

\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}

⸻⸻⸻⸻

\text{The answer should be: } \boxed{y^\frac{2}{3} }

⸻⸻⸻⸻

»»————- ★ ————-««  

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

7 0
2 years ago
Need help on this please help
MrRissso [65]
262 is the answer :)
5 0
3 years ago
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