That's a copy of the figure from the other post; I didn't look at the answer.
We have Start(0,0)
[tex]A(-16.55\cos 25, -16.55 \sin 25)[/tex]
[tex]B=A+(5 \cos 53, 5 \sin 53)[/tex]
[tex]C=B+(20,0)[/tex]
[tex]C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)[/tex]
[tex]C \approx (8.00968, -10.9875) \approx(8,-11)[/tex]
Your team takes the direct path at a constant speed of 6 miles per hour.
Our team. [tex]T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}[/tex]
Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
[tex]T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}[/tex]
Team Blue follows the riddle and travels at a constant speed of 10 mph.
[tex]T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}[/tex]
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
[tex]T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}[/tex]
Winner: our team, then Blue, then Red, then Yellow
