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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 Aseem 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?

    Homi Koylada replied 1 year, 4 months ago 3 Members · 2 Replies
  • 2 Replies
  • Rak Gehlm

    Member
    June 4, 2023 at 8:47 pm
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    ::

    <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 Koylada

    Member
    June 5, 2023 at 12:31 pm
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    ::

    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

    • This reply was modified 1 year, 4 months ago by  Homi Koylada.

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