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

Question 186871: 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
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by josmiceli)

Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by stanbon,ankor@dixie-net.com)

Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by Alan3354)

1. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by solver91311)

Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by Alan3354)

Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by edjones)

Can someone help me solve this problem? Steve traveled 150 miles at a certain speed.... (answered by RAY100)

Please help me solve this problem. Steve traveled 150 miles at a certain speed. Had he (answered by ankor@dixie-net.com)

3. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would... (answered by jim_thompson5910)