How many minutes does it take John to type y words if he : Problem Solving (PS)

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Re: How many minutes does it take John to type y words if he [#permalink]

25 May 2016, 09:35

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Bunuel wrote:

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

This problem is testing us on our knowledge of variables in a "work" question. Ultimately, we are solving for time. Since rate x time = work, we know that time = work/rate.

We are given that John types at a rate of x words per minute; thus, his rate is:

x/1 = x

We are asked for the number of minutes it will take John to type y words. We can solve, using the formula for time.

time = work/rate

time = y/x

The answer is B.

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Re: How many minutes does it take John to type y words if he [#permalink]

03 Sep 2012, 06:20

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If one isn't that good with variables, one can just plug in some numbers, where the answer is easy.

Like 60 words per minute and how long does it take to write 120 words. Easy to see that the solution is 120/60=2 minutes. Now going back to variables: y/x.

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Re: How many minutes does it take John to type y words if he [#permalink]

14 Mar 2014, 02:10

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x words take 1 Min
1 word will take $1 * \frac{1}{x} = \frac{1}{x}$ minutes

For y words, time required
= $y. \frac{1}{x} = \frac{y}{x}$

Answer = B

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Re: How many minutes does it take John to type y words if he [#permalink]

17 Aug 2021, 08:14

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Bunuel wrote:

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

Practice Questions
Question: 34
Page: 156
Difficulty: 550

Time = output/rate
Time = y/x

Answer: B

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Re: How many minutes does it take John to type y words if he [#permalink]

03 Sep 2012, 07:55

x words ------------------- 1 min (1)
y words ------------------- y/x min (2)

one approach which I generally use to verify such kind of problem is that (2) should be same as (1) if everything is cross-multiplied.
Here in (2), right hand side denominator x is multiplied by left hand side y

y*x ------------------------ y (3)

then y is cancelled out from both sides, so what remains is (1)

x --------------------------- 1

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Re: How many minutes does it take John to type y words if he [#permalink]

21 Sep 2012, 10:20

Ratextime=work ===> X x t = y ==> t = y/x

Ans C

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Re: How many minutes does it take John to type y words if he [#permalink]

15 Nov 2012, 03:21

$\frac{x}{min}(t)=y words$
$t=\frac{y}{x}min$

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Re: How many minutes does it take John to type y words if he [#permalink]

10 Sep 2014, 03:51

Bunuel wrote:

The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

Practice Questions
Question: 34
Page: 156
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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rate of x word per minute = 1/x.

for y word .... y*(1/x)= y/x

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Re: How many minutes does it take John to type y words if he [#permalink]

26 Apr 2020, 21:05

1 word can be typed in 1/x minutes
y words in y/x minutes

hence B is correct

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Re: How many minutes does it take John to type y words if he [#permalink]

17 Aug 2021, 21:45

Top Contributor

Work = Rate * Time

Thus he types x words in a minute and this is the rate of his work.

Work =y=time * x

=> Time = y/x

(option b)

D.S
GMAT SME

B

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Re: How many minutes does it take John to type y words if he [#permalink]

05 Jan 2022, 09:26

assume total words=100 = y
words/min = 10 = x
total min = 100/10 = y/x

B

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How many minutes does it take John to type y words if he [#permalink]

29 Jan 2023, 00:56

Bunuel wrote:

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

If someone is not good with variables, person can opt for plugging in the number to find the solution

Lets John types 5 words per minute for 10 minutes, then total words typed by him = 50

Therefore we can substitute the value of 'x & y' in the answer option. where y=50 , x=5, and gives the solution 10 as per above calculation.

Only option B satisfies the condition. Hence 'B' is the answer.

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Re: How many minutes does it take John to type y words if he [#permalink]

27 Mar 2024, 22:49

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Re: How many minutes does it take John to type y words if he [#permalink]

27 Mar 2024, 22:49

GMAT Problem Solving (PS) Questions

How many minutes does it take John to type y words if he