Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
The required equation is [tex]2.75=\frac{120}{55}+\frac{120}{x}[/tex]
The value of x is 211.2 miles per hour.
Step-by-step explanation:
Given : Each week, Rosario drives to an ice skating rink that is 120 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink.
To find : Equation can be used to find x, the number of miles per hour he averages on his way home?
Solution :
Firstly the distance is 120 miles.
If the average speed is 55 miles per hour.
The time taken is calculated by the formula
[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
[tex]T_1=\frac{120}{55}[/tex]
If the average speed is x miles per hour.
[tex]T_2=\frac{120}{x}[/tex]
We have given that Total time taken for a trip is 2.75 hours
So, we add both the time
[tex]T=T_1+T_2[/tex]
[tex]2.75=\frac{120}{55}+\frac{120}{x}[/tex]
The required equation is [tex]2.75=\frac{120}{55}+\frac{120}{x}[/tex]
Now, we find the value of x,
Taking LCM in required equation,
[tex]2.75=\frac{120x+120(55)}{55x}[/tex]
[tex]2.75\times55x=120x+6600[/tex]
[tex]151.25x-120x=6600[/tex]
[tex]31.25x=6600[/tex]
[tex]x=\frac{6600}{31.25}[/tex]
[tex]x=211.2[/tex]
Therefore, The value of x is 211.2 miles per hour.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.
