At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
The average speed of the train is 45 km/h
Explanation:
Speed
It's defined as the distance (d) per unit of time (t) traveled by an object. The formula is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Let's call x the total distance covered by the train. It covered d1=1/3x with a speed of v1=25 km/h. The time taken is calculated solving for t:
[tex]\displaystyle t_1=\frac{d_1}{v_1}[/tex]
[tex]\displaystyle t_1=\frac{1/3x}{25}[/tex]
[tex]\displaystyle t_1=\frac{x}{75}[/tex]
Now the rest of the distance:
d2 = x - 1/3x = 2/3x
Was covered at v2=75 km/h. Thus the time taken is:
[tex]\displaystyle t_2=\frac{d_2}{v_2}[/tex]
[tex]\displaystyle t_2=\frac{2/3x}{75}[/tex]
[tex]\displaystyle t_2=\frac{2x}{225}[/tex]
The total time is:
[tex]\displaystyle t_t=\frac{x}{75}+\frac{2x}{225}[/tex]
[tex]\displaystyle t_t=\frac{3x}{225}+\frac{2x}{225}[/tex]
[tex]\displaystyle t_t=\frac{5x}{225}[/tex]
Simplifying:
[tex]\displaystyle t_t=\frac{x}{45}[/tex]
The average speed is the total distance divided by the total time:
[tex]\displaystyle \bar v=\frac{x}{\frac{x}{45}}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \bar v=45\ km/h}[/tex]
The average speed of the train is 45 km/h
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.