Question

Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.

Who plants carrots more quickly? Show work

Answer 1

Explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

`Janet:\\9ft \: in \: 15 \:minutes`

`(9ft)/(15min) = (xft)/(60min)\\x = (60*9)/(15) = 36`

Janet can plant 36 feet of carrots in one hour

`Amy:\\(17ft)/(30min) = (xft)/(60min)\\x = (17*60)/(30) = 34`

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly