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Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min

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Joined: 02 Sep 2009
Posts: 43793
Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]

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New post 17 Apr 2017, 00:13
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

68% (01:42) correct 33% (01:40) wrong based on 58 sessions

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Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per minute. Fred can stuff 5 envelopes per minute. If Jed and Ed team up to complete half of a 600 envelope job and then Jed and Fred team up to complete the job, how long will it take to complete the entire job?

A. 1/2 hours
B. 2/3 hours
C. 11/12 hours
D. 25 hours
E. 55 hours
[Reveal] Spoiler: OA

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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]

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New post 17 Apr 2017, 00:21
units in the answer option should be in minutes, considering it to be in minutes the entire duration would be 55 mins-> option E
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]

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New post 17 Apr 2017, 00:24
Manager
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]

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New post 17 Apr 2017, 00:29
OH! yeah i missed the trap bunnel 11 over 12 is 55 mins indeed option C
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]

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New post 17 Apr 2017, 05:17
Option C

Jed: 7 envelops/min.
Ed: 3 envelops/min.
Fred: 5 envelops/min.

J + E = 10 envelops/min. [PS - Work efficiency can be added directly.]
J + E takes = (600/2)/10 mins. to stuff 300 (600/2) envelops. = 300/10 = 30 mins.

J + F = 12 envelops/min. [PS - Work efficiency can be added directly.]
J + F takes = (600/2)/12 mins. to stuff 300 (600/2) envelops. = 300/12 = 25 mins.

Total 30 + 25 = 55 mins. = 55/60 hours = 11/12 hours
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min   [#permalink] 17 Apr 2017, 05:17
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