a = 4800 – 6t

b = 5400 – 8tIn the system of equations above, a and b represent the distance, in meters, two marathon runners are from the finish line after running for four hours and t seconds. How far will runner a be from the finish line when runner b passes her?

A. 300 meters

B. 500 meters

C. 100 meters

D. 3000 meters

Runner *b* will pass runner *a* when they are the same distance from the finish line, so set those distance expressions equal.

But be careful, *t* is not a measure of distance, it’s time! The runners will meet at 300 seconds from the 4 hour mark. To find the distance they’ll be from the finish line at that time, plug 300 back into one of the original equations.

So the answer is D.

## Comments (1)

Thanks, Mike! Much appreciated!