Rational Word Problems

Front

What is the definition of the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

Back

Front

What is the formula to calculate average speed when dealing with upstream and downstream problems?

Back

Average speed can be calculated using the formula: \( \frac{Distance}{Time} \).

Front

In the canoe problem, what does the variable 'x' represent?

Back

The variable 'x' represents the average speed of the canoe in still water.

Front

What is the relationship between the speeds of George and Kurt in the laptop building problem?

Back

George can build a laptop twice as fast as Kurt.

Front

How do you set up an equation for work problems involving two people working together?

Back

The equation is set up as: \( \frac{1}{t_1} + \frac{1}{t_2} = \frac{1}{T} \), where \( t_1 \) and \( t_2 \) are the times taken by each person to complete the work alone, and \( T \) is the time taken when they work together.

Front

What is the equation to find how long it takes Kurt to work alone if George can build a laptop twice as fast?

Back

Front

In the problem about Jerry and Kenny, what does the variable 'x' represent?

Back

The variable 'x' represents the time it takes Kenny to complete the job alone.

Front

What is the equation to determine how long Katherine and Joe take to paint a room together?

Back

Front

What is the concept of 'work rate' in relation to time and work done?

Back

Work rate is the amount of work done per unit of time, often expressed as \( \frac{1}{t} \) where \( t \) is the time taken to complete the work.