SOLUTION: A lorry and a car both travel a 240 mile journey at constant speeds. The car is travelling at 12mph faster than the lorry. The lorry takes one hour longer to complete the j

Question 949225: A lorry and a car both travel a 240 mile journey at constant speeds.
The car is travelling at 12mph faster than the lorry.
The lorry takes one hour longer to complete the journey.
If 'x' is the speed of the car, show an algebraic equation to show 'x'.
I have worked out (in my head) that the car is travelling at 60mph and takes 4 hours, the lorry at 48mph for 5 hours. I am struggling to show this as an equation, please help!!!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A lorry and a car both travel a 240 mile journey at constant speeds.
The car is travelling at 12mph faster than the lorry.
The lorry takes one hour longer to complete the journey.
If 'x' is the speed of the car, show an algebraic equation to show 'x'.
=================
t = d/r
------
Time for the car = 240/x hours
Time for the lorry = 240/(x-12)
(240/x) + 1 = 240/(x-12)
(240 + x)/x = 240/(x-12)
(x+240)*(x-12) = 240x

(x - 60)*(x + 48) = 0
x = 60
Ignore the x = -48

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