Final answer:
Emma will have to wait for 7 kids to ride before her, and with each ride taking 10 minutes, she will have to wait 70 minutes in total.
Step-by-step explanation:
The question involves calculating the waiting time for Emma to get her turn on the pony ride at the fun fair. Since the pony rides take about 1/6th of an hour to finish and there are 3 ponies available, we can establish each pony ride's duration to be 10 minutes (since 1 hour = 60 minutes, so 1/6th of an hour is 10 minutes).
With 24 kids in front of Emma and 3 ponies, the children can be divided evenly among the 3 ponies. This means each pony will have 8 kids waiting in their line, including Emma.
For Emma to reach the front of the line, 7 kids must ride before her on her pony line. Emma's waiting time will be 7 kids × 10 minutes per ride = 70 minutes of waiting time before it's her turn.