Max completed a 10 mile run in 1 hour 20 minutes. Which dimensional analysis would you use to find her average speed in miles per hour?
Responses
10 miles80minutes×60 minutes1 hour
10 miles80minutes×60 minutes1 hour
10 miles1.2 hours×24 hours1 day
10 miles1.2 hours×24 hours1 day
10 miles113 hours×20 minutes1 hour
10 miles113 hours×20 minutes1 hour
10 miles120minutes×60 minutes1 hour
10 miles120minutes×60 minutes1 hour
The correct dimensional analysis to find Max's average speed in miles per hour would be:
10 miles × (1 hour / 80 minutes) × (60 minutes / 1 hour) = 7.5 miles per hour
To find Max's average speed in miles per hour, you would use the dimensional analysis:
10 miles -> (conversion factor) -> 1.2 hours -> (conversion factor) -> 1 day
So, the correct answer would be:
10 miles x (1.2 hours / 1 day) = 10 miles / 1.2 hours
To find Max's average speed in miles per hour, we need to convert the given values of 10 miles and 1 hour 20 minutes into consistent units.
The correct dimensional analysis would be:
10 miles x (1 hour 20 minutes) x (1 hour / 60 minutes)
Let's break this down:
- First, we multiply 10 miles by 1 hour 20 minutes. Since minutes need to be converted to hours, we use the conversion factor 1 hour / 60 minutes. This gives us the product of miles and minutes in hours: (10 miles) x (80 minutes) x (1 hour / 60 minutes).
- We can cancel out the units of minutes in the numerator and denominator to leave us with miles and hours: (10 miles) x (80 / 60 hours).
Therefore, the correct dimensional analysis to find Max's average speed in miles per hour is:
10 miles x (80 / 60 hours) = 13.33 miles per hour.