The speed of slower car is 94 kilometers per hour.
Step-by-step explanation:
Given,
Total distance covered by both cars = 400 km
Time period = 2 hours
Let,
Speed of one car = x
Speed of slower car = x-12
Combined speed = [tex]x+(x-12)=x+x-12=2x-12[/tex]
Distance = Speed*Time
[tex]400=(2x-12)*2\\400=4x-24\\400+24=4x\\424=4x\\4x=424[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{424}{4}\\x=106[/tex]
Speed of slower car = x-12 = 106-12 = 94 km/h
The speed of slower car is 94 kilometers per hour.
Keywords: distance, speed, time
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