Aljan and Bella are both driving from Cleveland to Chicago. Aljan leaves at
7:40 and averages 60 mph (miles per hour on the way. Bella leaves at 8:00
and averages 65 mph on the way. The situation is modeled by this system,
where x is the number of hours after Bella leaves and y is the distance each
will travel:
y = 60x + 20
y = 65x
How long after Bella leaves will she pass Aljan, and how far will they each
have traveled?​

Respuesta :

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,

[tex]60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4[/tex]

In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:

[tex]y = 65*4\\y = 260[/tex]

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

Otras preguntas