Question

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?

Answer 1

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

Explanation:

We know that,

$\text{Speed }\times Time=Dis\tan ce$

Let us frame the equation as follows,

$\begin{gathered} (\text{Speed of the train 1 + Speed of the train }2)\times Time=Dis\tan ce \\ (x+x-16)\times2=508 \\ 2x-16=\frac{508}{2} \\ 2x-16=254 \\ 2x=270 \\ x=135\text{kmph} \end{gathered}$

Final answer:

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

The speed of slower train is 119 km/h