We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y.

And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y.

Next, we will multiply to find the cross-products.

3 x Y = 15 x 8 or 3Y = 120.

We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y/3 = 120/3 or Y = 40 minutes.

# Answer

40
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
40
Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
train