Question

It takes Sam 3 hours to rake leaves, but if Laura helps, it takes 2 hours. How long would it take Laura to rake the leaves on her own?

Answer 1

6 hours

Explanation:

Given that:

Time taken by Sam = 3 hours

Sam's rate = 1/3

Time taken : Sam + Laura = 2 hours

Sam's rate + Laura's rate = 1/2

Let time taken by Laura = x

1/3 + 1/x = 1/2

1/x = 1/2 - 1/3

1/x = (3 - 2) / 6

1/x = 1 /6

x = 6

Hencw, it will take 6 hours for Laura alone to rake leaves