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# Alan worked 5 hours and finished half the job. Dan joined

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Director
Joined: 07 Jun 2004
Posts: 609

Kudos [?]: 966 [0], given: 22

Location: PA
Alan worked 5 hours and finished half the job. Dan joined [#permalink]

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26 Jul 2005, 16:22
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Alan worked 5 hours and finished half the job. Dan joined him and they finsihed the job in 1 hour. How long wud have dan take to do the job by himself.

Kudos [?]: 966 [0], given: 22

Manager
Joined: 04 Mar 2005
Posts: 106

Kudos [?]: 5 [0], given: 0

Location: NYC

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26 Jul 2005, 18:30
rxs0005 wrote:
Alan worked 5 hours and finished half the job. Dan joined him and they finsihed the job in 1 hour. How long wud have dan take to do the job by himself.

Time taken by Alan & Dan together to finish the job = 2 hrs (1 hr for half the job)
Time taken by Alan to finish the job = 10 hrs
Time taken by Dan to do the job= 5/2 = 2.5 hrs

Kudos [?]: 5 [0], given: 0

SVP
Joined: 05 Apr 2005
Posts: 1705

Kudos [?]: 101 [0], given: 0

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26 Jul 2005, 18:36
dan can do 40% work in 1 hour.
he can do 100% (the whole) work in 2.5 hours.

Kudos [?]: 101 [0], given: 0

Director
Joined: 27 Dec 2004
Posts: 894

Kudos [?]: 55 [0], given: 0

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26 Jul 2005, 18:49
Alan worked 5 hours and finished half the job. Dan joined him and they finsihed the job in 1 hour. How long wud have dan take to do the job by himself.

From the stem, we know Alan 's rate is 1/10
Also from the stem, we know Alan and Dan's rate combined is 1/2.

so to find Dan's rate, 1/10 + 1/x = 1/2
so 1/x = 4/10
and x, which is the time it would have taken Dan = 10/4 = 2.5

Kudos [?]: 55 [0], given: 0

Senior Manager
Joined: 30 May 2005
Posts: 274

Kudos [?]: 45 [0], given: 0

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27 Jul 2005, 01:04
rxs0005 wrote:
Alan worked 5 hours and finished half the job. Dan joined him and they finsihed the job in 1 hour. How long wud have dan take todo the job by himself.

ALAn will have finished the full job in 10h
(twice two half of the job hence 5h *2)

TOGETHER
they have done half of the job in an hours to do the full job together 2h

hence
A alan time
T together time
d dan time

1/1O+1/D = 1/2
solve for D
found
2/5

Kudos [?]: 45 [0], given: 0

Director
Joined: 07 Jun 2004
Posts: 609

Kudos [?]: 966 [0], given: 22

Location: PA

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27 Jul 2005, 03:49
2.5 hours is correc guys

thanks!

Kudos [?]: 966 [0], given: 22

27 Jul 2005, 03:49
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# Alan worked 5 hours and finished half the job. Dan joined

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