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In Matematika / Sekolah Menengah Atas | 2025-07-10

2,5 persen dari 7 juta

Asked by aliaqasim4709

Answer (3)

Here is the solution:
Start with the fact that both trains have made the same distance= 's'.
In physics distance is a multiplication of speed of your train = 'v' and period of time in which it was moving= 'T' (this is only true when the speed doesn't change during movement, or we talk about avarage speed like in your task). Then: s = v D ​ ∗ T D ​ "D" symbol refers do diesel train
Freight train moves with 15[km/h] greater speed and it travels 1 [h] shorter then: s = v F ​ ∗ T F ​ = ( v D ​ + 15 ) ∗ ( T D ​ − 1 )
As the distance made by both train is the same you can compare the right parts of both equations: v D ​ ∗ T D ​ = v F ​ ∗ T F ​ = ( v D ​ + 15 ) ∗ ( T D ​ − 1 )
Diesel train moved 6 hours and freight train 5 hours then: v D ​ ∗ 6 = ( v D ​ + 15 ) ∗ 5 6 ∗ v D ​ = 5 ∗ v D ​ + 75 6 ∗ v D ​ − 5 ∗ v D ​ = 75 v D ​ = 75
Here is your answer: The average diesel train speed is 75 km/h

Answered by MaciekMind | 2024-06-10

The average speed of the diesel train is 75 km/h. This is calculated based on the time each train travels and their relative speeds. The freight train, which travels 15 km/h faster, catches up with the diesel train after 5 hours of travel.
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Answered by MaciekMind | 2024-09-30

[tex]2.5\% \times 7.000.000 \\ = \frac{2.5}{100} \times 7.000.000 \\ \\ = \frac{17.5 00.000 }{100} = 175.000[/tex]

Answered by aquila0152 | 2025-07-11