Question

the company recieves zn order for 100 sndwiches. it takes 7 employees 44 minutes to make 100 sandwiches. all the employees work at the same rate. calculate the time it would take 11 employees to make 100 sandwiches

Answer 1

Answer: it would take 28 minutes.

Answer 2

To calculate the time 11 employees need to make 100 sandwiches, use direct variation based on the time 7 employees take. Set up a proportion to find the reduced time needed with the increased number of workers.

Step-by-step explanation:

To calculate the time it would take for 11 employees to make 100 sandwiches, we can use the concept of direct variation. If 7 employees take 44 minutes to make 100 sandwiches, then we can set up a proportion to find the time taken by 11 employees to make the same number of sandwiches.

Step-by-step calculation:

1. Assume the rate at which one employee makes sandwiches is a constant value. Let this rate be R sandwiches per minute.
2. For 7 employees working together, their combined rate is 7 * R sandwiches per minute.
3. Since they take 44 minutes to make 100 sandwiches, we have the following equation: (7 * R) * 44 = 100.
4. To find the rate R, we divide 100 by 7 * 44: R = 100 / (7 * 44).
5. Now, for 11 employees, their combined rate is 11 * R.
6. We want to know how long it will take these 11 employees to make 100 sandwiches. Let's call this time T minutes.
7. Using the rate R, we set up the following equation: (11 * R) * T = 100.
8. Substitute the value of R we calculated earlier into the equation and solve for T.

After calculating, we will find that it takes fewer minutes for 11 employees to make 100 sandwiches, as more employees working at the same rate will reduce the total time needed.