Question

An old machine manufactures a 3-d home in 24 hours. When a new super machine works with the old machine, they can manufacture the 3-d home in 4 hours less than what it takes the new super machine to do it alone. How long does it take the new super machine to do it alone?

Answer 1

To find out how long it takes the new super machine to manufacture the 3-D home alone, we can set up an equation based on the given information and solve for 'x'.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the given information. Let's say the amount of time it takes the new super machine to manufacture the 3-D home alone is represented by 'x' hours. According to the problem, when the old machine and the new super machine work together, they can manufacture the 3-D home in 4 hours less than what it takes the new super machine to do it alone. So, the time it takes when they work together is 'x-4' hours. We can set up the equation:
x - 4 = 24
Solving this equation, we find that 'x' is equal to 28. Therefore, it takes the new super machine 28 hours to manufacture the 3-D home alone.