Question

amy can wash and wax a car in 6 hours. beth can do the same job in 4 hours.

how long will it take them to wash and wax a car together?

let \\(x\\) represent the time it takes to complete the job together. write and solve an equation for the situation.

use the keypad to enter your answers in the boxes. additional symbols can be found using the drop-down arrow at the top of the keypad.

an equation that represents the situation is \\(\square\\).

it will take amy and beth \\(\square\\) hours to wash and wax a car together.

Explanation:

Define individual work rates

Using the Work Rate Problems knowledge point

$$
LATEXBLOCK0
$$

Set up the work equation

Using the Work Rate Problems and Rational Equations knowledge points

$$ \frac{1}{6} + \frac{1}{4} = \frac{1}{x} $$

Solve the rational equation

Using the Rational Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

An equation that represents the situation is <blank>\(\frac{1}{6} + \frac{1}{4} = \frac{1}{x}\)</blank>.

It will take Amy and Beth <blank>\(2.4\)</blank> hours to wash and wax a car together.