Rates of Work and Time Calculations

The video tutorial explains how Ian and Kyandre can work together to rake a lawn and bag leaves. Ian can complete the task in 5 hours, while Kyandre can do it in 3 hours. The tutorial calculates their individual work rates and combines them to find the time it would take for both to complete the task together. The combined rate is determined by adding their individual rates, and the solution is found by solving for the time, which is 15/8 hours or 1 hour and 52.5 minutes.

How long does it take Ian to rake and bag the leaves on his own?

• 3 hours

• 5 hours

• 7 hours

• 2 hours

What is Ian's rate of work in terms of lawns per hour?

• 1/5 lawns per hour

• 1/3 lawns per hour

• 1/2 lawns per hour

• 1 lawn per hour

Tags

CCSS.HSA.CED.A.1

How long does it take Kyandre to rake and bag the leaves on his own?

• 2 hours

• 5 hours

• 3 hours

• 7 hours

What is Kyandre's rate of work in terms of lawns per hour?

• 1/3 lawns per hour

• 1 lawn per hour

• 1/5 lawns per hour

• 1/2 lawns per hour

Tags

CCSS.HSA.CED.A.1

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

• 8/15 lawns per hour

• 1/8 lawns per hour

• 15/8 lawns per hour

• 1/15 lawns per hour

What is the common denominator used to add Ian's and Kyandre's rates?

• 15

• 12

• 10

• 18

What is the reciprocal of the combined rate 8/15?

• 1/8

• 8/15

• 1/15

• 15/8

Tags

CCSS.HSA.CED.A.1

How many hours does it take Ian and Kyandre to complete the task together?

• 2 hours

• 2 hours and 15 minutes

• 1 hour and 52.5 minutes

• 1 hour and 30 minutes

Tags

CCSS.5.MD.A.1

What is the equivalent of 15/8 hours in hours and minutes?

• 2 hours

• 1 hour and 45 minutes

• 1 hour and 52.5 minutes

• 2 hours and 5 minutes

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

How many minutes are in 7/8 of an hour?

• 45 minutes

• 55 minutes

• 50 minutes

• 52.5 minutes

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C