HA2-Reassess Rationals LT3: Applications

Front

What is the formula to find the combined work rate of two people working together?

Back

The combined work rate can be found using the formula: \( \frac{1}{A} + \frac{1}{B} = \frac{1}{T} \) where A and B are the times taken by each person to complete the job individually, and T is the time taken when they work together.

Front

If Igor can complete a job in 20 minutes and Fred in 30 minutes, how do you calculate the time taken when they work together?

Back

Use the formula: \( \frac{1}{20} + \frac{1}{30} = \frac{1}{T} \). Solving gives T = 12 minutes.

Front

How do you determine the time taken for multiple people to complete a job together?

Back

Add their individual work rates: \( \frac{1}{A} + \frac{1}{B} + \frac{1}{C} = \frac{1}{T} \) where A, B, and C are the times taken by each person.

Front

What is the work rate of a person who can complete a job in 8 hours?

Back

The work rate is \( \frac{1}{8} \) of the job per hour.

Front

If Tim can paint a field in 8 hours, JaQuii in 6 hours, and Damien in 4 hours, how do you find the time taken when they work together?

Back

Calculate: \( \frac{1}{8} + \frac{1}{6} + \frac{1}{4} = \frac{1}{T} \). Solving gives T = 1.8 hours.

Front

What equation represents the combined work of Bob and Jeff mowing a yard?

Back

Front

If Lucy can wash a car in 3 hours and together with Quinn in 1 hour, how do you find Quinn's time?

Back

Use the equation: \( \frac{1}{3} + \frac{1}{Q} = 1 \) where Q is the time taken by Quinn alone. Solving gives Q = 1.5 hours.

Front

What is the work rate of someone who can mow a lawn in 40 minutes?

Back

The work rate is \( \frac{1}{40} \) of the lawn per minute.

Front

How do you calculate the time taken for Peter and John to mow the lawn together?

Back

Use the formula: \( \frac{1}{40} + \frac{1}{60} = \frac{1}{T} \). Solving gives T = 24 minutes.

Front

What is the significance of the equation \( \frac{1}{A} + \frac{1}{B} = \frac{1}{T} \)?

Back

It represents the relationship between individual work rates and the combined work rate when two people work together.