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

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 (
`(1garage)/(12hours)`)

Sequoia's group ⇒ 1 garage in 16 hours (
`(1garage)/(16hours\\)`)

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

`(1)/(12) +(1)/(16) =(4)/(48) +(3)/(48) =(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.