SOLUTION: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until

Question 1075031: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Tommy's head start in miles is:
mi
Let = the time that they both spend
running starting when Zach starts and ending
when they are mi apart
-------------------------------------------
Tommy's distance:

Zach's distance:

-------------------------
using Pythagorean theorem:

Use quadratic formula

hrs
convert to min

They will be 8 mi apart in 33.6 min
-----------------------------------
check:

OK

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