Question

A red car is traveling at 55 mph. A blue car is traveling at 65 mph. The cars are 305 miles apart. The cars started at the same spot at different times. The total driving time for the two cars is 5 hours. Which system of equations could be used to solve for the total driving time of the red car (r) and the total driving time of the blue car (b)?algebra 1

Answer 1

55x5=275 red car
65x5=325 blue car

Answer 2

Answer: $r+b=5$

$55r+65b=305$

Step-by-step explanation:

Let the total driving time of the red car be 'r' and the total driving time of the blue car 'b'.

Then $r+b=5$

Also, we know that $\text{Distance=Speed*Time}$

Therefore, the distance traveled by red car =$55r$

The distance traveled by blue car =$65b$

The total distance traveled is given by :-

$55r+65b=305$

Hence, the system of equations could be used to solve for the total driving time of the red car (r) and the total driving time of the blue car (b) is

$r+b=5$

$55r+65b=305$