# Thread: ratio and proportion question

1. ## ratio and proportion question

Need Help ASAP. If three secretaries can type 12 pages in 5 minutes, how long will it take for 6 secretaries to type 32 pages at the same rate?

2. You are told that 3 secretaries can do 12 pages in 5 minutes.

One secretary can do 1/3 as much = 4 pages in 5 minutes.

The pages per minute from each secretary is:
$ppm = \frac{pages}{minutes} = \frac{4}{5} = 0.8$

The pages per minute for 6 secretaries will be 6 times as high: 0.8*6 = 4.8

So finally, if you have 6 secretaries doing a total of 4.8 pages per minute, how long will it take to do 32 pages?

Spoiler:

$\frac{32}{4.8} = 6.66666666...$