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# 3 secretaries working together can type 36 pages of text in

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 347 [0], given: 4

3 secretaries working together can type 36 pages of text in [#permalink]  18 Oct 2007, 09:40
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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

Director
Joined: 20 Aug 2007
Posts: 852
Location: Chicago
Schools: Chicago Booth 2011
Followers: 11

Kudos [?]: 87 [0], given: 1

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

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