Mathcounts Work Stretch

Front

What is the formula to calculate the time taken when two or more workers work together?

Back

If worker A takes time T_A to complete a task and worker B takes time T_B, the combined work rate is given by: \( \frac{1}{T_A} + \frac{1}{T_B} = \frac{1}{T_{combined}} \).

Tags

CCSS.HSA.CED.A.1

Front

If Eli can paint a set in 7 hours, what is his work rate in sets per hour?

Back

Eli's work rate is \( \frac{1}{7} \) sets per hour.

Tags

CCSS.HSA.CED.A.1

Front

If two workers can complete a task in a certain time, how do you find the time it would take for one worker to complete the same task alone?

Back

Use the formula: \( T_{worker} = \frac{1}{\frac{1}{T_{combined}} - \frac{1}{T_{other}}} \).

Tags

CCSS.HSA.CED.A.1

Front

How do you convert minutes into hours?

Back

To convert minutes into hours, divide the number of minutes by 60.

Tags

CCSS.4.MD.A.1

Front

What is the total time taken by Annie for her homework in minutes?

Back

Annie spends 15 + 12 + 25 = 52 minutes on her homework.

Tags

CCSS.3.MD.A.1

Front

If a task takes 9 hours for one family and twice as long for another, how long does the second family take?

Back

The second family takes 18 hours to complete the task.

Front

How do you calculate the combined work rate of two workers?

Back

Add their individual work rates: \( \text{Combined Rate} = \text{Rate}_1 + \text{Rate}_2 \).

Tags

CCSS.HSA.CED.A.1

Front

If Raji reads 18 pages per hour and starts at page 6, how many pages does he read in 1 hour?

Back

Raji reads 18 pages in 1 hour, reaching page 24.

Tags

CCSS.6.RP.A.3B

Front

What is the least common multiple (LCM) and how is it used in work problems?

Back

LCM is the smallest number that is a multiple of two or more numbers, used to find a common time frame for tasks.

Front

How do you find the total time taken by two families working together?

Back

Use the formula: \( T_{combined} = \frac{1}{\frac{1}{T_1} + \frac{1}{T_2}} \).

Tags

CCSS.HSA.CED.A.1