Best Answer unreality , 21 July 2007 - 05:19 PM

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# Typists problem

### #41

Posted 27 March 2008 - 10:24 AM

In general to solve problems of this type, one can proceed as follows:

Prepare a data table

^ hens eggs days

| 1.5.... 1.5 ....1.5

| x .......18...... 3

Draw an arrow from the unknown x to the known value (in this case of hens). The value of x is then obtained by multiplying the known value by the ratios of the other quantities taken in the same direction of the arrow if they are directly proportional with respect to the unknown x, in the opposite direction if inversely porportional. In this case the number of eggs is directly proportional (more hens, more eggs), the days are inversely proportional (more days, less hens necessary to lay a certain number of eggs).

x = 1.5x(18/1.5)x(1.5/3) = 9.

For the typists problem we have:

^ typists pages minutes

| 2...........2...........2

| x...........18........18

In this case the pages are directly proportional (more typists, more pages), the minutes inversely proportional (more typists, less time to type a certain number of pages). So:

x = 2x(18/2)x(2/18) = 2.

(I couldn't find a better method of drawing the arrow)

well your wrong...the problem is how many typist will it take to type 18 pages in six minutes.....the answer is 6typists

### #42

Posted 27 March 2008 - 11:06 AM

It depends on the type-writers available ...well your wrong...the problem is how many typist will it take to type 18 pages in six minutes.....the answer is 6typists

### #43

Posted 27 March 2008 - 08:50 PM

well i agree that 1 typist can type .5 in 0ne minute,therefore 1 typist can type 3 pages in 6 minutes right? ( 1typist * .5page *6minutes = 3 pages )

so, if there are 6 typists, they can produced 18 pages in 6 minutes. ( 6typists * .5page * 6minutes = 18 pages )

Yes. 6 typist can type 18 pages in 6 minutes, but that's not what it's asking...it's asking how many typist can type 18 pages in 18 MINUTES

### #44

Posted 28 March 2008 - 08:59 PM

*four*assumptions. Firstly you assume that all typists type at the same rate. Secondly you assume that both typists type at a constant rate. Thirdly you assume that there is a constant number of pages in each page. Fourthly, that there is no need to make any adjustments to the typewriters

if all these factors are constant, than you will need two typists:

Together, two typists can type 1 page per minute, therefore, they can type 18 pages in 18 mins

**Edited by Dark_Safi, 28 March 2008 - 09:01 PM.**

### #45

Posted 28 March 2008 - 09:58 PM

### #46

Posted 28 March 2008 - 10:34 PM

The rate is 2 minutes per page for each typist...

So in 18 minutes each typist can type 9 pages

so it would take 2 typist to type 18 pages in 18 minutes.

### #47

Posted 31 March 2008 - 12:56 AM

### #48

Posted 22 April 2008 - 09:39 PM

your math is off -- or your typist made a typo....

Twotypists [together] can type at a pace of 1 page/minute.

and therefore, also, they can type 18 pages in 18 minutes

very true, thanks. I just thought 2 was such an obvious answer, so I tried to search further for something else, but... I can't argue with the correct math. 2 typist together type 1ppm so apart, assuming each is equal, each types .5ppm. Indeed both of them would be needed for the speed of 1ppm to type 18 pages in 18 minutes.

I'm not seeing the logic here. There are two women, typing two pages in two minutes. This means each woman is taking two minutes to type each page. The answer is 2. You were right. Never let anyone make you second guess yourself.

### #49

Posted 23 April 2008 - 10:46 PM

If you have two typists that generate 2 pages in 2 minutes...that means it takes 1 typist 2 minutes for 1 page and the other 2 minutes for 1 page...=2 typist-2 pages-2 minutes.

Which means 1 typist will generate 9 pages in 18 minutes and another 9 pages in 18 minutes...totaling 18 pages in 18 minutes for.......

**2 TYPISTS**

**Edited by stoguy, 23 April 2008 - 10:46 PM.**

### #50

Posted 24 April 2008 - 03:08 PM

Small startup = 2. But employee satisfaction will be low due to workload issues and you risk burnout.

Sustainable = 3. Provides some additional capacity in the case of sick kids, vacations, and such.

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