Question

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. How long will it take for Todd to catch up?

Answer 1

After 5 hours they both catch up.

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
`4x` stockings

Total stoking Kate has made is =
`4x+5`

Now, Todd started out with none done. He fills 5 stockings per hour.

So, after x hours he fill
`5x` stockings.

Total stockings Todd has made is =
`5x`

We have to find when they catch up

We equate the equations,

`4x+5=5x`

`5=5x-4x`

`x=5`

Therefore, After 5 hours they both catch up.