Answer:
After 5 hours they both catch up
Step-by-step explanation:
Given : Two workers in a holiday boutique are filling stockings with small gifts and candy.
Kate had already filled 5 stockings and will continue to fill them st a rate of 4 stockings per hour.
Todd, who just arrived to help, can fill 5 stockings per hour. At some pint, Todd will catch up with Kate and they will have completed the same number of stockings.
To find : How long will it take for Todd to catch up?
Solution :
We know, Kate has already filled 5 stocking.
She fills 4 stockings every hour.
Let after x hours Kate filled stockings
Total stoking Kate has made is =
Now, Todd started out with none done. He fills 5 stockings per hour.
So, after x hours he fill stockings.
Total stockings Todd has made is =
We have to find when they catch up
We equate the equations,
Therefore, After 5 hours they both catch up.