Question

A cleans 40 plates in 20 minute. B cleans 35 plates in 30 minute. How long would it take to clean 60 plates if they were to work together?

Answer 1

i hate word problems, don't you?

Answer 2

doesn't mean we can't do it though

Answer 3

Its going to pop up on the SAT, gotta learn how to do these problems!

Answer 4

lol there is motivation for you

Answer 5

A does 40 plates in 20 minutes, so his rate per minute is \(\frac{40}{20}=2\) plates per minute

Answer 6

\[b = \frac{ 35 }{ 30 }\] or 1.16 plates per minute

Answer 7

B is slower, 35 plates in 30 minutes
that rate is \(\frac{35}{30}=\frac{7}{6}\)

Answer 8

lets not use decimals

Answer 9

combined rate is what you get when you add them

Answer 10

I'll just leave this one to you ;)

Answer 11

\[2+\frac{7}{6}=\frac{19}{6}\] if i still know how to add

Answer 12

you want the time, set \[\frac{19}{6}=60\] and solve for \(t\) via \[t=60\times \frac{6}{19}\]

Answer 13

wow typo there

Answer 14

set \[\frac{19}{6}T=60\] get \[T=60\times \frac{6}{19}\]

Answer 15

did you cross multiplied?

Answer 16

and 19x1 and 6x60?