Answer: Tina rides 4 miles and Derek rides 3 miles.
Explanation:
Since we have given that
Distance covered by Derek in west direction be x
Distance covered by Tina in south direction be x+1
Distance between the bikers when they both stop is x+2
Since it forms right triangle, so we will apply "Pythagorus theorem":
[tex]H^2=P^2+B^2\\\\(x+2)^2=x^2+(x+1)^2\\\\x^2+4x+4=x^2+x^2+1+2x\\\\x^2+4x+4=2x^2+2x+1\\\\x^2-2x^2+4x-2x+4-1=0\\\\-x^2+2x+3=0\\\\x^2-2x-3=0\\\\x^2-3x+x-3=0\\\\x(x-3)+1(x-3)=0\\\\(x+1)(x-3)=0\\\\x=-1,3[/tex]
Since distance can't be in negative sign, so we take x=3 miles
Derek rides 3 miles
Tina rides is given by
[tex]x+1=3+1=4\ miles[/tex]
Hence, Tina rides 4 miles and Derek rides 3 miles.
