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3 secretaries working together can type 36 pages of text in

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CEO
CEO
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Joined: 21 Jan 2007
Posts: 2770
Location: New York City
Followers: 6

Kudos [?]: 212 [0], given: 4

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3 secretaries working together can type 36 pages of text in [#permalink] New post 18 Oct 2007, 09:40
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A
B
C
D
E

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3 secretaries working together can type 36 pages of text in half an hour.
The typing speeds of the secretaries are in 4:3:2 ratio

How long will it take the slowest-typing secretary working alone to type 52 pages?

1 hour 34 min
1 hour 45 min
2 hours 45 min
3 hours 15 min
3 hours 25 min

Please explain your answer.
Director
Director
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Joined: 20 Aug 2007
Posts: 853
Location: Chicago
Schools: Chicago Booth 2011
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 [#permalink] New post 18 Oct 2007, 09:58
Let's set up the rate formula:
rate x time = total work

Since we're given the 4:3:2 ratios, we can call the rates 4r, 3r, 2r.

Our formula becomes (4r + 3r + 2r) x 30 = 36 ---> r = 2/15

The slowest secretary is 2r = 4/15 (can type 4 pages in 15 minutes)

For the slowest secretary, using rate x time = work, we can say 4t/15 = 52 ---> t = 195 minutes or 3 hrs and 15 minutes

Answer is D.
  [#permalink] 18 Oct 2007, 09:58
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3 secretaries working together can type 36 pages of text in

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