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Activity Discussion Math how long will it take for the two trains to meet?

• # how long will it take for the two trains to meet?

Posted by on June 4, 2023 at 7:46 pm

If a train leaves Station A at 60 km per hour, and another train leaves Station B at 80 km per hour, and the two stations 300 km apart, how long will it take for the two trains to meet?

replied 3 months, 4 weeks ago 3 Members · 2 Replies
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• ### Rak

Member
June 4, 2023 at 8:47 pm
0

<div>
</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>

• ### Homi

Member
June 5, 2023 at 12:31 pm
0

Speed of first train=60km/h

Speed of second train=80km/h

Total distance between both the station=300km

Now using the concept of relative speed=(Speed of first train+ Speed of second train) =60+80

=140km/h

( here since both the trains are moving in the opposite direction so relative speed is calculated by taking the sum of both the speeds)

Time=Distance/Speed

=300/140

=2.143hr or 2hr 8 mins

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