If Two Typists Can Type Two Pages in Two Minutes, How Many GMAT Problem Solving

Question: If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?

1. 3
2. 4
3. 6
4. 12
5. 36

“ If two typists can type two pages in two minutes, how many” is a question of GMAT Quantitative reasoning section. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer: C

Solution and Explanation:

Approach Solution 1:

Given in the question that two typists can type 2 pages in 2 minutes. It has been asked in the question to find out how long it will take to type 18 pages in six minutes.
Suppose the rate of each typist is R
So the rate of two typists will be 2R
time = 2 mins
work = 2 pages
using : Rate * Time = Work ,we have:
2R * 2 = 2
=> R = 0.5 pages/min

Suppose x number of typists are required to finish 18 pages in 6 mins
So, rate of R typist will be xR
Time = 6 mins
work = 18 pages
Using Rate*time= work we have

xR * 6 = 18
=> x R = 3
we know that R =0.5
=> x = 6

So, the answer will be C

Correct Answer: C

Approach Solution 2:

given that two typists can complete two pages of typing in two minutes. How long will it take to type 18 pages in six minutes is the question that has been posed.

Since one typewriter can type two pages in four minutes and two pages can be typed by two typists in two minutes, the rate of one typist equals Work = Rate*Time 2 pages = R*2 min, or R = 1 page/min for two typists. —— I (i)

R = 3 pages per minute for N typists, hence 18 pages equal R*6 min. —— (ii) (ii)

Eq. (ii) = 3 * I (i) i.e., N typists type 3 times as quickly as 2 typists. Consequently, N = 2 * 3 = 6 typists.

Therefore, C is the right response.

Correct Answer: C

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