Question

Tom and sid are working together to paint a fence. tom will paint 2 3 3 2 ​ of the fence, and sid will paint the rest. in an hour, tom can paint 1 6 6 1 ​ of the fence and sid can paint 1 9 9 1 ​ of the fence. who will finish first? complete the steps to set up this problem.

Answer 1

Tom will finish painting the fence first because it will take him 1/18 hour, while it will take Sid 1/27 hour.

Step-by-step explanation:

Tom and Sid are working together to paint a fence. Tom will paint 2/3 of the fence, and Sid will paint the rest. In an hour, Tom can paint 1/6 of the fence and Sid can paint 1/9 of the fence. To determine who will finish first, we need to calculate the time it will take for each of them to finish painting their respective portions. Let's set up the problem:

1. Tom will paint 2/3 of the fence, which means he has to paint 1 - 2/3 = 1/3 of the fence left.
2. Tom can paint 1/6 of the fence in 1 hour. So, to paint 1/3 of the fence, it will take him (1/3) * (1/6) = 1/18 hour.
3. Sid will paint the rest of the fence, which is 1/3 of the fence.
4. Sid can paint 1/9 of the fence in 1 hour. So, to paint 1/3 of the fence, it will take him (1/3) * (1/9) = 1/27 hour.

Comparing the time it takes for each of them to finish, we can see that Tom will finish first because it will take him 1/18 hour while it will take Sid 1/27 hour to finish painting their respective portions.