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madreJ [45]
3 years ago
13

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 buil

d a birdhouse together?
Mathematics
2 answers:
miskamm [114]3 years ago
3 0
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: \frac{1}{3} + \frac {1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}

To find how long does it take to build a birdhouse: \frac{ \frac{5}{6}}{1} = \frac{1}{x}

Set the denominators equal: \frac{\frac{5}{6}x}{x} = \frac{1}{x}

Remove the denominators and solve: \frac{5x}{6} = 1

Once again set the denominators equal: \frac{5x}{6} = \frac{6}{6}

Remove the denominators and solve for x: 5x = 6  \\ \\ x = \frac{6}{5}

6/5 hours is equal to 72 minutes.
N76 [4]3 years ago
3 0

Answer:

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.

Step-by-step 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.


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