Calculating Time and Rates

Ian and Kyandre are tasked with raking a lawn and bagging leaves. Ian can complete the task in 5 hours, while Kyandre can do it in 3 hours. The video explains how to calculate their combined work rate by determining how much of the task each can complete per hour. By adding their rates, we find they can complete 8/15 of the task per hour together. This means they will take 1 hour and 52.5 minutes to finish the task when working together.

How long does it take Ian to rake and bag the leaves by himself?

• 8 hours

• 7 hours

• 5 hours

• 3 hours

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is Kyandre's rate of raking and bagging leaves in terms of bags per hour?

• 1 bag per hour

• 1/5 of a bag per hour

• 1/3 of a bag per hour

• 1/2 of a bag per hour

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is Ian's rate of raking and bagging leaves in terms of bags per hour?

• 1/2 of a bag per hour

• 1/5 of a bag per hour

• 1 bag per hour

• 1/3 of a bag per hour

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CCSS.6.NS.B.3

What is the combined rate of Ian and Kyandre working together?

• 6/15 bags per hour

• 5/15 bags per hour

• 7/15 bags per hour

• 8/15 bags per hour

What is the least common multiple of 5 and 3 used to find the combined rate?

• 18

• 15

• 12

• 10

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CCSS.HSA.CED.A.1

How long will it take Ian and Kyandre to complete the task together?

• 2 hours

• 1 hour and 45 minutes

• 1 hour and 30 minutes

• 1 hour and 52.5 minutes

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CCSS.7.NS.A.3

What is the mixed number representation of the time it takes for Ian and Kyandre to complete the task together?

• 2 hours

• 1 and 7/8 hours

• 1 and 3/4 hours

• 1 and 1/2 hours

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CCSS.4.MD.A.1

How many minutes is 7/8 of an hour?

• 60 minutes

• 45 minutes

• 70 minutes

• 52.5 minutes

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CCSS.4.MD.A.1

What is the first step in converting 7/8 hours to minutes?

• Subtract 60

• Divide by 60

• Add 60

• Multiply by 60

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CCSS.3.MD.A.1

What is the final step in calculating the total time in minutes?

• Add 15

• Subtract 15

• Multiply by 15

• Divide by 15

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CCSS.3.MD.A.1