Final answer:
After converting the given times to 24-hour format and calculating the difference, Emma will have 38 minutes from when her mom arrives home at 5:22 p.m. until her gymnastics lessons begin at 6:00 p.m.
Step-by-step explanation:
The student has asked how much time Emma will have between when her mom gets home from work and when her gymnastics lessons begin. To solve this, it is necessary to perform a series of time calculations. With the current time being 4:12 p.m., Emma's mom will be home at 5:22 p.m. after 70 minutes. Since Emma has gymnastics at 6:00 p.m., we calculate the difference between 5:22 p.m. and 6:00 p.m.
First, we bring both times to the same format:
- 5:22 p.m. is equivalent to 17 hours and 22 minutes in 24-hour format.
- 6:00 p.m. is equivalent to 18 hours in 24-hour format.
Now we subtract the two times:
- 18:00 - 17:22 equals 38 minutes.
Therefore, Emma will have 38 minutes between when her mom arrives home and when her gymnastics lessons begin.