Answer:
5 hours
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given that:
- Each grid unit represents 1 mile
- Pedro's routes are: historic village => the science center => the museum
- Speed of 2 7/10 = [tex]\frac{27}{10}[/tex] miles per hour
and the given coordinates are:
historic village (-4 1/2, 5 1/4) = (-4.5, 5.25)
science center (-4 1/2, -1 3/4) = (-4.5, -1.75)
the museum (2, -1 3/4) = (2, -1.75)
=> The distance from historic village to the science center :
=[tex]\sqrt{(-4.5 -(-4.5))^{2} + (-1.75 - 5.25)^{2} }[/tex] = 7
=> The distance from the science center to the museum:
= [tex]\sqrt{(2 -(-4.5))^{2} + (-1.75 - (-1.75))^{2} }[/tex] = 6.5
=> the total distance he travel is: 7 + 6.5 = 13.5 miles
The hours he traveled is: 13.5 miles / [tex]\frac{27}{10}[/tex] miles per hour
= 5 hours
