SOLUTION: Two people start jogging at the same time.one jogs south at 5 miles per hour and the other jogs west at 4 miles per hour. After how long are they 24 miles apart?

Algebra ->  Equations -> SOLUTION: Two people start jogging at the same time.one jogs south at 5 miles per hour and the other jogs west at 4 miles per hour. After how long are they 24 miles apart?       Log On


   

Question 1043666: Two people start jogging at the same time.one jogs south at 5 miles per hour and the other jogs west at 4 miles per hour. After how long are they 24 miles apart?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle and time is asked for when hypotenuse becomes a given size.

%285t%29%5E2%2B%284t%29%5E2=24%5E2
Find t.

25t%5E2%2B16t%5E2=24%5E2
41t%5E2=24%5E2
t%5E2=24%5E2%2F41
t=24%2Fsqrt%2841%29
highlight%28t=24%2Asqrt%2841%29%2F41%29


How you report this value depends on what you need and the accuracy available for the given measurements. You need to decide if this is to be a decimal, a whole number, or as an irrational number. As solved, the value for t is as an irrational number, but you might need the reported value differently. What other instructions come with the exercise?