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Two trains leave towns 508 kilometers apart at the same time and travel toward each other. one train travels 16 km/h slower than the other. if they meet in hours, what is the rate of each train?

Two trains leave towns 508 kilometers apart at the same time and travel toward each-example-1
User Chouettou
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1 Answer

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Given:

Distance, d = 508 km

Time, t = 2 hours

Let x be the speed of one train.

Let x-16 be the speed of another train.

To find: Speed of the two trains

Step-by-step explanation:

We know that,


\text{Speed }* Time=Dis\tan ce

Let us frame the equation as follows,


\begin{gathered} (\text{Speed of the train 1 + Speed of the train }2)* Time=Dis\tan ce \\ (x+x-16)*2=508 \\ 2x-16=(508)/(2) \\ 2x-16=254 \\ 2x=270 \\ x=135\text{kmph} \end{gathered}

Final answer:

The speed of the faster train is 135 km/h.

The speed of slower train is 119 km/h

User ShdNx
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