To solve this problem, we first need to determine how much of the fence each person can paint per hour.

1. Nancy can paint a fence in 3 hours, so she can paint 1/3 of the fence in one hour.
2. Ben can paint a fence in 4 hours, so he can paint 1/4 of the fence in one hour.

If they work together, we add up the fractions of the fence they can paint in one hour.

1/3 + 1/4 = 4/12 + 3/12 = 7/12

This means that together, they can paint 7/12 of the fence in one hour.

To find out how long it would take them to paint the whole fence, we divide 1 (the whole fence) by 7/12 (the fraction of the fence they can paint in one hour).

1 ÷ (7/12) = 1.71 hours

So, it would take them approximately 1.71 hours to paint the fence together.

Question

To solve this problem, we first need to determine how much of the fence each person can paint per hour.

1. Nancy can paint a fence in 3 hours, so she can paint 1/3 of the fence in one hour.
2. Ben can paint a fence in 4 hours, so he can paint 1/4 of the fence in one hour.

If they work together, we add up the fractions of the fence they can paint in one hour.

1/3 + 1/4 = 4/12 + 3/12 = 7/12

This means that together, they can paint 7/12 of the fence in one hour.

To find out how long it would take them to paint the whole fence, we divide 1 (the whole fence) by 7/12 (the fraction of the fence they can paint in one hour).

1 ÷ (7/12) = 1.71 hours

So, it would take them approximately 1.71 hours to paint the fence together.

Knowee AI · Accepted Answer

To solve this problem, we first need to determine how much of the fence each person can paint per hour.

1. Nancy can paint a fence in 3 hours, so she can paint 1/3 of the fence in one hour.
2. Ben can paint a fence in 4 hours, so he can paint 1/4 of the fence in one hour.

If they work together, we add up the fractions of the fence they can paint in one hour.

1/3 + 1/4 = 4/12 + 3/12 = 7/12

This means that together, they can paint 7/12 of the fence in one hour.

To find out how long it would take them to paint the whole fence, we divide 1 (the whole fence) by 7/12 (the fraction of the fence they can paint in one hour).

1 ÷ (7/12) = 1.71 hours

So, it would take them approximately 1.71 hours to paint the fence together.

Nancy can paint a fence in 3 hours. It takes Ben 4 hours to do the same job. If they were to work together to paint a fence, approximately how many hours should it take?

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