SOLUTION: A police cruiser on a highway chase passes Luther in his pickup truck. The Policeman drives 18 MPH faster that Luther. In the same time that Luther drives 10 miles the policeman dr

Question 70886: A police cruiser on a highway chase passes Luther in his pickup truck. The Policeman drives 18 MPH faster that Luther. In the same time that Luther drives 10 miles the policeman drives 13 miles. What is the speed of the police cruiser?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A police cruiser on a highway chase passes Luther in his pickup truck. The Policeman drives 18 MPH faster that Luther. In the same time that Luther drives 10 miles the policeman drives 13 miles. What is the speed of the police cruiser?
:
Let x = L's speed
(x + 18) = cop's speed
:
Times involved are equal so make a time equation from that. Time = dist/speed
:
L's time = Cops time
=
:
Cross multiply and you have:
13x = 10(x+18)
13x = 10x + 180
13x - 10x = 180
3x = 180
x = 180/3
x = 60 mph is L's speed, of course then cop's speed is 78 mph
:
Check our solution using time:
10/60 = 13/78
.167 = .167 hr
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