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</div><div>To find out how long it will take for the two trains to meet, we can use the concept of relative speed.</div><div>
</div><div>The first train is traveling at a speed of 60 km/h, and the second train is traveling at a speed of 80 km/h. The total distance between the two stations is 300 km.</div><div>
</div><div>When the two trains are moving towards each other, their speeds are additive. Therefore, the relative speed of the two trains is 60 km/h + 80 km/h = 140 km/h.</div><div>
</div><div>To calculate the time it takes for the two trains to meet, we can use the formula: time = distance / speed.</div><div>
</div><div>Thus, the time it will take for the two trains to meet is: time = 300 km / 140 km/h ≈ 2.143 hours (rounded to three decimal places).</div><div>
</div><div>Therefore, it will take approximately 2.143 hours (or 2 hours and 8 minutes) for the two trains to meet.</div>