SOLUTION: This question is not from a book. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster the trip would have taken 2 hours less. Find the speed of his vehicle

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Let = the speed of the vehicle
Let = distance in miles
Let = time in hours
given:
mi

(1)
(2)
---------------------------------
From (1),

Substitute this in (2)
(2)
(2)
Subtract from both sides
(2)
Add to both sides
(2)
Multiply both sides by
(2)
Add to both sides
(2)
divide both sides by
(2)
I will find by completing the square
(you could use quadratic formula also)
(2)
(2)
(2)
Now both sides are perfect squares
(2)
Take the square roots of both sides
(2)
(2) (there is a negative solution also, )
The speed of his vehicle is 30 mi/hr
check answer:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
OK