SOLUTION: I've tried to set this up, yet I have no idea on how to solve it. "Helped by a strong jetstream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400km trip

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Question 170787This question is from textbook Algebra and Trigonometry Structure and Method Book 2
: I've tried to set this up, yet I have no idea on how to solve it.
"Helped by a strong jetstream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400km trip in 30min less time than usual. At what speed does the plane usually fly?" This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
well..lets call the normal rate and time r and t respectively. so if rate is 10% faster then the rate would be 1.1r in this case and t would be t-(1/2)
:
4400=rt--->r=4400/t
:
4400=1.1r(t-1/2)
:
take r's value from first equation and plug it into second equation
:
4400=1.1(4400/t)((2t-1)/2) cross multiply
:
8800t=1.1(4400)(2t-1)
:
8800t=4840(2t-1)---> 8800t=9680t-4840
:
880t=4840
:
t=5.5hours so plugging this into the 1st equation
:
highlight%284400%2F5.5=800%29mph plane usually flies at