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What is a work word problem?

Back

A work word problem is a type of math problem that involves calculating the time it takes for one or more people to complete a task based on their individual work rates.

Tags

CCSS.HSA.CED.A.1

Front

How do you find the combined work rate of two people working together?

Back

To find the combined work rate, add the individual work rates of each person. The work rate is calculated as 1 divided by the time taken to complete the task.

Tags

CCSS.HSA.CED.A.1

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If Stephanie takes 7 hours to clean an attic, what is her work rate?

Back

Stephanie's work rate is 1/7 of the attic per hour.

Tags

CCSS.HSA.CED.A.1

Front

If Shayna takes 12 hours to clean the same attic, what is her work rate?

Back

Shayna's work rate is 1/12 of the attic per hour.

Tags

CCSS.HSA.CED.A.1

Front

How do you calculate the time taken when two people work together?

Back

Use the formula: 1/(work rate of person A + work rate of person B) to find the time taken when working together.

Tags

CCSS.HSA.CED.A.1

Front

What is the work rate of Carla if she can wash a load of dishes in 42 minutes?

Back

Carla's work rate is 1/42 of the load per minute.

Tags

CCSS.HSA.CED.A.1

Front

If Carla and Dan together wash dishes in 28 minutes, what is their combined work rate?

Back

Their combined work rate is 1/28 of the load per minute.

Tags

CCSS.HSA.CED.A.1

Front

How do you find the time it takes for one person to complete a task alone if you know the combined time with another person?

Back

Use the formula: 1/(combined work rate) - 1/(work rate of the known person) = time for the unknown person.

Tags

CCSS.HSA.CED.A.1

Front

If Arjun and Maria can oil lanes in 4.24 hours together, what is their combined work rate?

Back

Their combined work rate is 1/4.24 of the lanes per hour.

Tags

CCSS.HSA.CED.A.1

Front

If Maria can do the task alone in 8 hours, what is her work rate?

Back

Maria's work rate is 1/8 of the lanes per hour.

Tags

CCSS.HSA.CED.A.1