Question

Bryan's volunteer group can build a garage in 12 hours. When he works with Sequoia's volunteer

group, it takes 4 hours to build the garage together. How long does it take Sequoia's volunteer

group to build the garage alone? (Do not include the units in your answer. )

Answer 1

Answer:

Step-by-step explanation:

Known:

• A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

• The volunteer group can build a garage in 12 hours. Sequoia's group can build it in

To find:

• The Bryan's long would it take them if they worked together.

Brian's group ⇒ 1 garage in 12 hours ( $\frac{1garage}{12hours}$)

Sequoia's group ⇒ 1 garage in 16 hours ($\frac{1garage}{16hours\\}$)

To make it easier to calculate the time it would take if they worked together, we will write this expression:

$\frac{1}{12} +\frac{1}{16} =\frac{4}{48} +\frac{3}{48} =\frac{7}{48}$

From this fraction we see that for 7 garages they would need 48 hours. . To calculate how much time they would need for

1 garage, we will further simplify the fraction.

Solving the worked together is would need

6.86 hours for one garage.