Jorie normally leaves work at 5:00 pm, but she is leaving work 30 minutes late today. She decides to make up time by taking the
toll road instead of side streets. She can travel four times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time. Y equals one fourth times x minus thirty y = 4x − 30 y equals one fourth times x plus thirty y = 4x + 30
Let x be the normal time it takes for her to commute. We know that if she was 30min late, this would had 30 min to the journey. She takes a different route, she can travel four times faster than the normal route.
Therefore the normal time of commute will be 4 times less:
This equation states that the commute time will be four times faster and adding the 30min that she is late.
