M3- Unit 6 Flashcard Working Together Word Problems

Front

What is the formula to calculate the time taken when two people work together?

Back

Front

If Peter can mow the lawn in 40 minutes and John in 60 minutes, how long will it take them to mow the lawn together?

Back

24 minutes.

Front

Sara takes 11 hours to vacuum the house, and Dan takes 12 hours. How long would it take if they worked together?

Back

5.74 hours.

Front

Katherine can paint a room in 4 hours, and Joe needs 6 hours. What equation would you use to determine how long it takes them to paint the room together?

Back

Front

If Keith and Melanie can reupholster furniture in 3 hours together, and Melanie takes 5 hours alone, how long would it take Keith alone?

Back

7.5 hours.

Front

George can build a laptop twice as fast as Kurt. If they work together and it takes them 3 hours, what equation would you use to find out how long it takes Kurt alone?

Back

Front

What is the concept of 'work rate' in collaborative tasks?

Back

Work rate refers to the amount of work done per unit of time. When two or more people work together, their combined work rates add up.

Front

How do you find the individual work rate of a person?

Back

Front

Back

This equation allows us to determine the combined time taken to complete a task when two or more individuals work together.

Front

If two people can complete a task in T hours together, how would you express their individual times A and B?

Back