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

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03 Sep 2012, 06:02

2

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John can type x words in 1 min. So he can type 1 word in 1/x min Hence he should type y words in y(1/x) mins Answer : Choice B
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Re: How many minutes does it take John to type y words if he [#permalink]

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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.

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

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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)

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

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20 Feb 2014, 13:44

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

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07 Oct 2015, 17:29

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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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