SOLUTION: You and your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the dis

Algebra ->  Pythagorean-theorem -> SOLUTION: You and your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the dis      Log On


   

Question 507460: You and your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the distance between the two in 222.99 miles. At what speed were you traveling?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the distance between the two in 222.99 miles. At what speed were you traveling
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let x=speed (mph) you are traveling
x+5=speed (mph) your friend is traveling
distance=speed*travel time
distance you traveled=3x
distance friend traveled=3(x+5)
By Pathagorean Theorem
(3x)^2+[3(x+5])^2 =(222.99)^2
9x^2+9(x^2+10x+25)=49724.54
9x^2+9x^2+90x+225=49724.54
18x^2+90x-49499.54 =0
let student solve by quadratic formula
ans:
x=-55 mph-rounded (reject, speed>0)
or
x=50 mph-rounded
ans:
You were traveling at a speed of 50 mph