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# Working together, John and Jack can type 20 pages in one

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VP
Joined: 22 Nov 2007
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Working together, John and Jack can type 20 pages in one [#permalink]

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17 Feb 2008, 05:37
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Working together, John and Jack can type 20 pages in one hour. They will be able to type 22 pages in one hour if Jack increases his typing speed by 25%. What is the ratio of Jack's normal typing speed to that of John?

1/3

2/5

1/2

2/3

3/5
Manager
Joined: 02 Jan 2008
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17 Feb 2008, 06:29
D
--
Jack: x pages/hr, John: y pages/hr

x/20 + y/20 = 1 = 1.25x/22 + y/22
x:y=2:3
SVP
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17 Feb 2008, 07:14
D for me as well.

let a =jacks rate, and b=johns rate

a+b=20

1.25a+b=22

0.25a=2 -->a=8 -->b=12

a/b=8/12=2/3
VP
Joined: 22 Nov 2007
Posts: 1092
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17 Feb 2008, 09:19
pmenon wrote:
D for me as well.

let a =jacks rate, and b=johns rate

a+b=20

1.25a+b=22

0.25a=2 -->a=8 -->b=12

a/b=8/12=2/3

oa is d. in this case we use the formula:

time necessary for Jack + time necessary for John = total time

let's consider the formula 1/x + 1/y = total time or xy/(x+y)=total time

in this case we already have the two times: 1/x and 1/y, which are a and b.

is that right? I encounter many problems in approaching work questions.
Re: work   [#permalink] 17 Feb 2008, 09:19
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# Working together, John and Jack can type 20 pages in one

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