Question

Jordan can build a birdhouse in 2 hours. If it takes her sister 3 hours to build a birdhouse, how long will it take them to build a birdhouse together?

Answer 1

if you came on here to find the answer for the A-Beka Algebra 1 quiz 36 for this question the answer is 1 1/5hr. or 1hr.12min.

Explanation:

1. B. Cross multiply

2. D. 1

3. B. proportion

4. A. 4a-2/8a-a^2

5. a=2

6. c=0,6

7. 150ft (or just) 150

8. 1 1/5hr. (OR) 1hr.12min.

Answer 2

To find the total work of two people at different speeds, we need to find a common speed limit to both.

In this case, Jordan can build a birdhouse in 2 hours so her speed is 1/2 birdhouse per hour.

For the sister, it takes 3 hours to build a birdhouse so her speed is 1/3 birdhouse per hour.

To find what they can do in one hour:
`(1)/(3) + \frac {1}{2} = (2)/(6) + (3)/(6) = (5)/(6)`

To find how long does it take to build a birdhouse:
`( (5)/(6))/(1) = (1)/(x)`

Set the denominators equal:
`((5)/(6)x)/(x) = (1)/(x)`

Remove the denominators and solve:
`(5x)/(6) = 1`

Once again set the denominators equal:
`(5x)/(6) = (6)/(6)`

Remove the denominators and solve for x:
`5x = 6 \\ \\ x = (6)/(5)`

6/5 hours is equal to 72 minutes.