Casey has 5/6 left of a section of sidewalk to clean. If he can clean 5/18 of a section in 1 minute, how long will it take him t
1 answer:
Answer:
Casey will take 3 minutes to clean part of the section.
Step-by-step explanation:
∵ Casey takes the time to cleans of a section = 1 minute
∴ He will take the time to clean complete section =
=
= 3.6 minutes
Now time taken to clean part of the section =
= 3 minutes
Therefore, left part of the section will be cleaned by Casey in 3 minutes.
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To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.
So, let be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
For the second car:
We know that the speed of the second car is the speed of the first car plus 14 mph, so:
Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles, so, we can calculate the relative speed between them:
If the cars are moving towards each other the relative speed will be:
Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:
Writing the equation, we have:
We have that the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
Hence, we have that:
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