I need help with this math word problem! Its dealing with distance! I've done it but i wanna compare it!?

Question

Chris has two errands to run. He starts at his house. At 8am, he leaves home heading west to the library. He drives for 20 miles. After he leaves the library, he travels 15 miles north to the local grocery store. he then leaves the store and heads home. He arrives at 5:00p.m.

How far did he travel.

grocery store to home.

Whats the total miles?

please and thank you!

Answer 1

Simple geometry.

                  |\

              a  | \  c

                  |  \

                  |   \

                  |    \

                  -------

                     b

To find the length of the hypotenuse, square the two sides & add them together.  This will give you the square of the hypotenuse.  In this case, side b is heading west to the library (20), side a is going north to the store (15) & going home is side c (?).

a^2 + b^2 = c^2

15^2 + 20^2 = c^2

(15*15) + (20 * 20) = c^2

225 + 400 = c^2

625 = c^2

25=c  (25*25 = 625)

He drove 25 miles home from the grocery store & drove a total of 60 miles on his errands.