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# working together, John and Jack can type 20 pages in 1hr. If

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Director
Joined: 13 Mar 2007
Posts: 542

Kudos [?]: 90 [0], given: 0

Schools: MIT Sloan
working together, John and Jack can type 20 pages in 1hr. If [#permalink]

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11 Jun 2007, 20:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

working together, John and Jack can type 20 pages in 1hr.
If Jack increases his speed by 25%, they can type 22 pages in 1hr.
What is the ratio of Jack's original typing speed to that of Jhon's?

a) 1/3
b) 2/5
c) 1/2
d) 2/3
e) 3/5

Kudos [?]: 90 [0], given: 0

Manager
Joined: 23 Dec 2006
Posts: 134

Kudos [?]: 31 [1], given: 0

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11 Jun 2007, 21:33
1
KUDOS
D: 2/3

o-john
a-jack

o + a = 20
o + 1.25a = 22

20-a + 1.25a=22
a=8

20-8=o=12

ratio of jack to john: a/o = 8/12 = 2/3

Kudos [?]: 31 [1], given: 0

Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 157 [0], given: 0

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13 Jun 2007, 20:25
working together, John and Jack can type 20 pages in 1hr. If Jack increases his speed by 25%, they can type 22 pages in 1hr.
What is the ratio of Jack's original typing speed to that of Jhon's?

a) 1/3
b) 2/5
c) 1/2
d) 2/3
e) 3/5

D.
25% Jack = 2 hours.
Jack = 8 hours.
John = 20 - 8 = 12 hours
so ratio of jack to john = 8/12 = 2/3

Kudos [?]: 157 [0], given: 0

Senior Manager
Joined: 24 Nov 2006
Posts: 349

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13 Jun 2007, 20:42
working together, John and Jack can type 20 pages in 1hr.
If Jack increases his speed by 25%, they can type 22 pages in 1hr.
What is the ratio of Jack's original typing speed to that of Jhon's?

a) 1/3
b) 2/5
c) 1/2
d) 2/3
e) 3/5

John: J pages ... 1 hr
Jack: K pages ... 1 hr
Tgther: J+K pages ... 1 hr => J+K = 20

If Jack increases his velocity by 25% =>
J + 1.25K = 22 => K = 8; J = 12 => K/J = 2/3 => D.

Kudos [?]: 27 [0], given: 0

Re: lets work !   [#permalink] 13 Jun 2007, 20:42
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