161k views
4 votes
When people buy wood to burn in a stove they purchase it in units of cords ( stacks that are 128 cubic feet).Camilla had 3 cords of wood delivered and stacked. She noticed that the people stacking the wood could stack 3/10 of a cord in 2/5 of an hour. At the rate in (a), how many hours will it take for them to stack all 3 cords

User Bobeff
by
8.1k points

1 Answer

4 votes
To find out how many hours it will take to stack all 3 cords of wood at the rate of 3/10 of a cord in 2/5 of an hour, you can set up a proportion:

(3/10 cord) / (2/5 hour) = (3 cords) / (x hours)

Now, cross-multiply and solve for x:

(3/10) * (5/2) = (3/x)

(3/10) * (5/2) = 15/20 = 3/4

So, it will take (3/4) of an hour to stack all 3 cords of wood at the given rate. You can also express this as 45 minutes since 3/4 of an hour is equivalent to 45 minutes.
User Evgenii Vorobei
by
8.1k points