150k views
2 votes
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?​

User Malavika
by
4.8k points

2 Answers

3 votes

Answer:

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

Explanation:

User Frizinator
by
5.0k points
6 votes

Answer:

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

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,


60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = (20)/(5) = 4

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


y = 65*4\\y = 260

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

User King
by
5.5k points