Question

98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))

-Your team takes the direct path at a constant speed of 6 miles per hour.
-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.
-Team Blue follows the riddle and travels at a constant speed of 10 mph.
-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.

Your team : 

Team Red : 

Team Blue : 

Team Yellow :


Rank the four teams according to their times.

First place :
Second place : 

Third place :

Fourth place :

Answer 1

That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)


`A(-16.55\cos 25, -16.55 \sin 25)`


`B=A+(5 \cos 53, 5 \sin 53)`


`C=B+(20,0)`


`C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)`


`C \approx (8.00968, -10.9875) \approx(8,-11)`

Your team takes the direct path at a constant speed of 6 miles per hour.

Our team.
`T=√(8^2+11^2)/6 = 2.27 \textrm{ hours}`

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.


`T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}`

Team Blue follows the riddle and travels at a constant speed of 10 mph.


`T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}`

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.


`T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}`

Winner: our team, then Blue, then Red, then Yellow