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It takes a car (x - 5) hours to travel a distance of (x2 – 3x – 10) km. At what speed is the car running? (Note: distance = rate x time)


(x3 – x2 – 15x – 50) km/h


(x + 2) km/h


(x – 2) km/h


(x3 – 3x2 + 15x + 50) km/h

Sagot :

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  • (x + 2) km/h

Step-by-step explanation

In finding the speed, we will use the formula:

  • [tex] \boxed{ \sf{Speed = \frac{Distance}{Time}}}[/tex]

Given:

  • Distance = (x² - 3x - 10) km
  • Time = (x - 5) km

Substitute the givens on the formula.

  • [tex] \boxed{ \sf{Speed = \frac{(x² - 3x - 10) \: km}{(x - 5) \: km}}}[/tex]

  • [tex] \boxed{ \sf{Speed = (x + 2) \: km/h}}[/tex]

» Therefore, the speed of the car is (x + 2) km/h.

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