Respuesta :
Answer:
60 km/h
Step-by-step explanation:
Let us use the x to represent the speed of the car since it is the smaller value.
Then, the distance covered by the car is 4x since was going 4 kph.
The distance covered by the train is (x+5) times 7 or 7x+35.
We know that the total distance covered is 640 km.
Using this information, we can set up the equation 4x+7x+35=640.
By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.
After this, we divide both sides by 11 and get x=55.
Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.
Train=60 km/h
Speed is the ratio of distance and time. The speed of the car is 55 kmph, while the speed of the train is 60 kmph.
What is the relation between speed, distance, and Time?
We know that speed, distance, and time all are in a relationship with each other. This relationship can be given as,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Let the speed of the car be x km/hr.
Now, as it is mentioned in the problem the speed of the train is 5kmph greater than the speed of the car, therefore, the speed of the train is (x+5) kmph.
Further, it is mentioned that the time for which distance travelled by car is 4 hours, while the time for which distance travelled by car is 7 hours. Therefore, the total distance travelled by the tourist can be written as,
[tex]\rm Total\ distance = (Distance)_{car} + (Distance)_{train}\\\\Total\ distance = (speed \times time)_{car} + (speed \times time)_{train}\\\\[/tex]
[tex]640 = (x \times 4)+[(x+5) \times 7]\\\\640 = 4x + 7x +35\\\\640-35 = 11x\\\\605 = 11x\\\\x = \dfrac{605}{11}\\\\x = 55[/tex]
Thus, the speed of the car(x) is 55 kmph, while the speed of the train(x+5) is 60 kmph.
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