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X= (a+24)/4= (a/4) + 6
Y= (a/4)

So speed of X and Y have diff of 6, the only pair to satisfy this condition is 48 and 54.

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Sajjad1994
Train X and Train Y, traveling at their respective constant rates, are moving in the same direction along parallel tracks. Initially, Train X is behind Train Y by 18 kilometers, but after 4 hours, Train X is 6 kilometers ahead of Train Y.

Using the information given, identify an answer that could be the speed of Train X and an answer that could be the speed of Train Y, both in kilometers per hour (k/h). Make only two selections, one in each column.
Key Formula ----> 

Distance = Speed * Time

­ Train X : 

Let Speed = Sx , Time = Tx , Distance = Dx ;   Dx = Sx * Tx

Train Y :

Let Speed = Sy , Time = Ty , Distance = Dy ; Dy = Sy * Ty

Now translate the lines one by one.

Initially, Train X is behind Train Y by 18 kilometers :

So, Dx = Dy - 18. ....(eqn. 1)

but after 4 hours, Train X is 6 kilometers ahead of Train Y :  

After 4 hours means : Time will be added by 4 

[Sx * (Tx + 4)] = [Sy * (Ty + 4)] + 6

[Sx * Tx] + 4Sx = [Sy * Ty] + 4Sy + 6

4Sx - 4Sy - 6 = [Sy * Ty] - [Sx * Tx] 

4Sx - 4Sy - 6 = 18 (From equation 1)

4Sx - 4Sy = 24 (Divide this complete euation by 4)

Sx - Sy = 6

From answer choices : Sx = 54 and Sy = 48
Satisfies it. 

Hope it helps.
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Sajjad1994
Train X and Train Y, traveling at their respective constant rates, are moving in the same direction along parallel tracks. Initially, Train X is behind Train Y by 18 kilometers, but after 4 hours, Train X is 6 kilometers ahead of Train Y.

Using the information given, identify an answer that could be the speed of Train X and an answer that could be the speed of Train Y, both in kilometers per hour (k/h). Make only two selections, one in each column.
­Very easy question

Train X covers a distance of 24 kilometers in 4 hours which means = relative speed of x wrt y is 6 greater.

Vx-Vy=6 

Only 54 and 48 combination works. So thats the answer.

Honestly dont think a question like this could appear in the exam
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Train X moved faster than Train Y
=> X> Y

­In 4 hours, the difference between Train X and Y's travel is 18 + 6 = 24km
=> Difference in speed per hour: \(24 \div 4 = 6\)
=> X - Y = 6

=> X = 54; Y = 48
 ­
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