Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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 appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
