Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
the average speed = 24 km/h
Explanation:
We can find the average speed by using this formula:
[tex]\boxed{\overline{v}=\frac{\Sigma s}{\Sigma t} }[/tex]
where:
- [tex]\overline{v}=\text{average speed}[/tex]
- [tex]\Sigma s=\text{total distance}[/tex]
- [tex]\Sigma t=\text{total time}[/tex]
Let:
the distance between A and B = x km
Given:
- [tex]\text{distance from A to B}=x\ km[/tex]
- [tex]\text{speed from A to B}=30\ km/h[/tex]
- [tex]\text{distance from B to A}=x\ km[/tex]
- [tex]\text{speed from B to A}=20\ km/h[/tex]
Since the formula for time:
[tex]\boxed{time(t)=\frac{distance(s)}{speed(v)} }[/tex]
Then:
- [tex]\displaystyle \text{time from A to B}=\frac{x}{30} \ h[/tex]
- [tex]\displaystyle \text{time from A to B}=\frac{x}{20} \ h[/tex]
Hence:
[tex]\begin{aligned}\overline{v}&=\frac{\Sigma s}{\Sigma t}\\\\&=\frac{x+x}{\frac{x}{30} +\frac{x}{20} } \\\\&=\frac{2x}{\frac{2x+3x}{60} } \\\\&=2x\times\frac{60}{5x} \\\\&=\bf 24\ km/h\end{aligned}[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
