SOLUTION: If you travel 180 miles and then travel 15 Mph faster and get there an hour sooner how fast we're u going

Question 698181: If you travel 180 miles and then travel 15 Mph faster and get there an hour sooner how fast we're u going
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

given:
mi
Let = usual rate
Let = time to go 180 mi at usual rate
= faster rate
= time to go 180 mi at faster rate
--------------
At usual rate:
(1)
At faster rate:
(2)
----------------------------
(2)
and
(1)
Substitute this into (2)
(2)
(2)
Multiply both sides by
(2)
(2)
Use quadratic formula

Your usual speed is 45 mi/hr
Your faster speed is 60 mi/hr
check answer:
(1)
(1)
(1) hrs
and
(2)
(2)
(20
OK

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