Question

tracy can build a brick wall in hours, while her apprentice can do the job in hours. how long does it take for them to build a wall together?

Answer 1

Let's denote the amount of work needed to build the wall as 1 (a complete wall).

The work done by Tracy in one hour is 1/6 of the wall, while the work done by her apprentice in one hour is 1/8 of the wall.

If they work together, their combined work in one hour is:

1/6 + 1/8 = 4/24 + 3/24 = 7/24

This means that together, they can build 7/24 of the wall in one hour.

To build the entire wall (which is one unit of work), they need to work for:

1 / (7/24) = 24/7 hours

Therefore, it takes about 3.43 hours or approximately 3 hours and 26 minutes for Tracy and her apprentice to build a wall together.