Group member - Time take

Juan. 32.35
Ricardo. 21.78
Lucas. 23.18

Calculate u sing the work model.
Using the individual times for your three team members, write an equation to model the work done, and solve that equation for the estimated time that it takes to complete the task together.

Juan 1 job/32.35 minutes

R 1 job/21.78 minutes
L 1 job/23.18 min

all three work for t minutes
so
(1/32.35 + 1/21.78 + 1/23.18) t = 1 job

( .119966 ) t = 1

so t = 8.34 minutes

Sorry Im still confused. How did you get 8.34 minutes ?

To calculate the estimated time that it takes to complete the task together using the work model, we need to use the concept of work done and the formula for it. The work done is calculated by dividing the amount of work (task) by the rate of work (time).

In this case, we have the individual times for each team member: Juan with 32.35 units of time, Ricardo with 21.78 units of time, and Lucas with 23.18 units of time. We need to find the combined time it takes for all three team members to complete the task together.

To do this, we can set up an equation where the work done by each team member is added up to equal the total work done. The work done by a team member is equal to the rate of work (inversely proportional to time), so we can represent the work done by Juan as 1/32.35, Ricardo as 1/21.78, and Lucas as 1/23.18.

The equation to model the work done by the team is:

1/32.35 + 1/21.78 + 1/23.18 = 1/x

where x represents the combined time taken by all three team members.

To solve this equation, we can add the fractions together and then take the reciprocal of the sum to find x:

(1/32.35 + 1/21.78 + 1/23.18)^-1 = x

Calculating the sum of the fractions:

(1/32.35 + 1/21.78 + 1/23.18) = 0.0309

Taking the reciprocal of the sum:

0.0309^-1 = 32.35

Therefore, the estimated time it takes for all three team members to complete the task together is approximately 32.35 units of time.