Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school. If Angela works alone, it will take her five and a half hours. If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

Answers

Answer 1
Answer:

The time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of workis done in total n number of days, then the total work done in a day can is,

W_1=(1)/(n)

In preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours. The work done by Angela in one hour is,

A=(1)/(5.5)\nA=(2)/(11)

If Brandon works alone, it will take him 7 hours. The  work done by Brandon in one hour is,

B=(1)/(7)

The work done in one hour, when the work together,

A+B=(2)/(11)+(1)/(7)\nA+B=(14+11)/(77)\nA+B=(25)/(77)\nA+B=(1)/(3.08)

Thus, the time required when Angela and Brandon work together, for the preparation for the homecoming football game, is 3.08 hours.

Learn more about the work and time here;

brainly.com/question/25572872

Answer 2
Answer:

Answer:

3.08 hours

Step-by-step explanation:

Preparation for the homecoming football game, members of the student body are painting the spirit rock in front of the school.

If Angela works alone, it will take her five and a half hours.

If Brandon works alone, it will take him 7 hours. If they work together, it will take them approximately hours ?

This is calculated as:

The Number of hours they worked together = T

1/5.5 + 1/7 = 1/T

= 7 + 5.5/(5.5)(7)

= 12.5/38.5

1/T = 12.5/38.5

Cross Multiply

12.5T = 38.5

T = 38.5/12.5

T = 3.08 hours


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