Question

Lauren and minki are in a bike race. Lauren bikes at 18 miles per hour. Minki bikes at 12 miles per hour and has a 6-mile head start. Write the system of equations that represents each persons distance. Let d represent the distance and t represent the time

Answer 1

For Lauren - d = 18t

For Minki - d = 6 + 12t

Explanation:

Given The speed of Lauren is 18 miles per hour and the speed of Minki is 12 miles per hour

Also Given that Minki got a head start of 6 miles

For Lauren

`Speed=(distance)/(time)`

`18=(d)/(t)`

d = 18t

For Minki

`Speed=(distance)/(time)`

`12=(d)/(t)`

d = 12t

Also given that he had a 6 miles headstart

Therefore the equation becomes

d = 6 + 12t