Question

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

Answer 1

18 minutes

Explanation:

Answer 2

Sophie and Simon working together to peel the potatoes will it take 18 minutes

Explanation:

First of all, we express the speed of peeling potatoes of each one as a rate

Sophie_rate
`(potatoes)/(45 min) \\`

Simon_rate
`(potatoes)/(30 min) \\`

Now add the fractions, like this:

`(1)/(45) +(1)/(30) =(1)/(Totaltime) \\(1)/(45) +(1)/(30)=(1)/(18)  \\Totaltime= 18 minutes`