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Answer:
She caught up with Jordan at 6:39 AM
Step-by-step explanation:
We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.
Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.
Her mom will have left 15 minutes after he left, when he will already have traveled
So, his position after t minutes can be modeled by the following function:
His mom
His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:
At what time did she catch up with Jorden,
She catches up t minutes after 6:15 AM.
t is found when
So
0.4 of an hour is 0.4*60 = 24 minutes.
So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM