candygirl200:

Trevon can oil lanes in a bowling alley in 7 hours. Imani can oil the same lanes in 10 hours. Find out how long it would take them if they worked together.

10 months ago

So the way that you would first approach this question is to put what Trevor and Imani can do in terms of an hour Trevon = 7hours Trevon can do 1/7 of a lane in an hour Imani = 10hours Imagine can do 1/10 of a lane in an hour $\frac{ 1 }{ 7 } + \frac{ 1 }{ 10 } = \frac{ 10 }{ 70 } + \frac{ 7 }{ 70 } = \frac{ 17 }{ 70 }$

10 months ago

Together, they can do 17/70 of a lane, in an hour

10 months ago

Imagine, lol I meant Imani :)

10 months ago

Does this make sense so far?

10 months ago
candygirl200:

yes

10 months ago

Now we need a variable, and an equation, for how long it would take for them to do it together. Let t = time it would take for them to do the job together $\frac{ 1 }{ t } = \frac{ 17 }{ 70 }$ Flip it $\frac{ t }{ 1 } = \frac{ 70 }{ 17 }$ $t = \frac{ 70 }{ 17 }$

10 months ago