The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Step-by-step explanation:
Given,
Total distance = 798 kilometers
Let,
speed of faster train = x
speed of slower train = x-2
Time = 3 hours
Distance = Speed*Time
Distance covered by faster train = 3x
Distance covered by slower train = 3(x-22) = 3x-66
As they both traveled combined distance, therefore,
[tex]3x+(3x-66)=798\\3x+3x-66=798\\6x=798+66\\6x=864[/tex]
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{864}{6}\\x=144[/tex]
The speed of faster train is 144 km/h
Speed of slower train = x-22 = 144-22 = 122 km/h
The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Keywords: distance, speed
Learn more about distance at:
#LearnwithBrainly
