Question

Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in 16 hours. Brianne can complete the project in 18 hours. Joselyn wants to know how long it will take them to complete the project together.

Write an equation and solve for the time it takes Allen and Brianne to complete the project together. Explain each step.

Answer 1

Formula: \[t=\frac{ AB }{ A+B }\]

Answer 2

\[t \frac{ (16)(18) }{ 16+18 }\]

Answer 3

That looks right e.e

Answer 4

\[t=\frac{ (16)(18) }{ 34 }\]

Answer 5

Keep going

Answer 6

\[t=\frac{ 288 }{ 34 }\]
now we going to make a mixed fraction bare with meh

Answer 7

Couldnt you just divide

Answer 8

\[8=\frac{ 16 }{ 34 }\]

Answer 9

e.e i tried but it gave me a decimal so i subtracted instead sorry

Answer 10

but is this right

Answer 11

I dont even know anymore, im confused

Answer 12

ok hold on e.e

Answer 13

For this equation we are going to use the formula
\[t=\frac{ AB }{ A+B }\]
A=Allen, B=Brianne, t=Time
We then plug in the hours it takes then to finish the job on there own
\[t=\frac{ (16)(18) }{ 16+18 }\]
we then add the denominator together
\[t=\frac{ (16)(18) }{ 34 }\]
we then multiply the numerator together
\[t=\frac{ 288 }{ 34}\]
we then turn it into a mixed fraction to determine the hours and minutes it would take them to do it together
\[8=\frac{ 16 }{ 34 }\]

Answer 14

its better to write it \[8+\frac{ 16 }{ 34 }\]

Answer 15

um

Answer 16

@Shadow

Answer 17

\[\frac{ 16 }{ 34 }=\frac{ 8 }{ 17 }\]

Answer 18

\[8+\frac{ 8 }{ 17 }\]

Answer 19

Now we have to convert the 8/17 to minutes using a proportion
\[\frac{ 8 }{ 17 }=\frac{ x }{ 60 }\]

Answer 20

\[8+\frac{ 28 }{ 60 }\]
this means if Allen and Brianne work together it would take them both 8 hours and 28 minutes to finish the project

Answer 21

That makes sense I think e.e

Answer 22

tank yew angel e.e