The equation y = – 5x +6 represents a
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Answer:
The train traveled for 32.66 hours.
Step-by-step explanation:
Let the speed of the train was initially for the distance was x km/hr.
So, 150 km the train moved with x km/hr speed and the remaining 450 km the train goes with the speed of (x + 15) km/hr.
Then, the time taken by the train to cover the first 150 km will be hrs.
Therefore, with the actual speed, the train would have covered the 150 km by hrs.
Now, from the given conditions, we can write the equation as
⇒
⇒ (300 - 3x) (x + 15) = 75(4x + 15) {Since x ≠0}
⇒ 300x + 4500 - 3x² - 45x = 300x + 1125
⇒ 3x² + 45x - 3375 = 0
⇒ x² + 15x - 1125 = 0
⇒ {Applying the quadratic formula}
⇒ x = 26.87 km/hr {Ignoring the negative root}
Therefore, the train traveled for hours. (Answer)