
Из пункта А выехал поезд со скоростью 100 км/ч А через 2/5 часа из пункта а в том же направлении
вышел второй поезд,скорость которого составляет 6/5 скорости первого.В пункт они прибыли одновременно.Сколько был в пути 1 поезд

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Problem Analysis
We are given that a train departs from point A with a speed of 100 km/h. After 2/5 hours, another train departs from point A in the same direction with a speed that is 6/5 times the speed of the first train. Both trains arrive at their destination at the same time. We need to find the time it took for the first train to travel.Solution
Let's assume the time taken by the first train to reach the destination is t hours.The speed of the second train is 6/5 times the speed of the first train, so the speed of the second train is (6/5) * 100 = 120 km/h.
Since both trains arrive at the destination at the same time, we can set up the following equation:
Distance covered by the first train = Distance covered by the second train
Speed of the first train * Time taken by the first train = Speed of the second train * Time taken by the second train
100 * t = 120 * (t - 2/5)
Simplifying the equation:
100t = 120t - 48
20t = 48
t = 48/20
t = 2.4 hours
Therefore, the first train took 2.4 hours to travel.
Answer
The first train took 2.4 hours to travel.Explanation
The problem states that the first train departs from point A with a speed of 100 km/h. After 2/5 hours, the second train departs from point A in the same direction with a speed that is 6/5 times the speed of the first train. Both trains arrive at their destination at the same time.To find the time taken by the first train, we set up an equation based on the distances covered by both trains. By solving the equation, we find that the first train took 2.4 hours to travel.


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