Question

Question 18

YARDWORK Each week Imani and Demond must mow their 4-acre yard. When they use both their 36-inch mower and 42-inch mower, it
takes them 2 hours. When the 36-inch mower is out for repairs, it takes them 3 hours. How long would the job take if the 42-inch mower
were broken?

Answer 1

When the 42-inch mower is broken, it takes Imani and Demond 3 hours to mow their 4-acre yard using only the 36-inch mower.

Explanation:

When both mowers are available, Imani and Demond can complete the task in 2 hours. This can be calculated by finding the time it takes to mow 4 acres with both mowers using the formula: total time = (time to mow with 36-inch mower + time to mow with 42-inch mower) / 2. Let's call the time it takes to mow with the 36-inch mower x and the time it takes to mow with the 42-inch mower y. Then, we have:

2 = (x + y) / 2

Solving for y, we get:

y = (2 * x) - x

Substituting x = 3 (since it takes them 3 hours when the 42-inch mower is broken), we get:

y = (6) - 3 = 3 hours.

So, when the 42-inch mower is broken, they need to use only the 36-inch mower, which takes them 3 hours to complete the task. This can be seen as a special case of the formula above, where y = x (since they cannot use the larger mower). Therefore, when they only have access to the smaller mower, it takes them 3 hours to complete the task.

Answer 2

6/12

Explanation:

this is because if you do the math it is 6/12