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

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Bunuel
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Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink] New post   17 Apr 2017, 01:13
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A
B
C
D
E

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35% (medium)

Question Stats:

74% (02:12) correct 26% (02:17) wrong based on 183 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
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C
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink] New post   17 Apr 2017, 06:17
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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] New post   17 Apr 2017, 01:21
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] New post   17 Apr 2017, 01:24
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attari92 wrote:
units in the answer option should be in minutes, considering it to be in minutes the entire duration would be 55 mins-> option E


The options are correct. Please check again.
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink] New post   17 Apr 2017, 01:29
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] New post   28 Sep 2020, 12:39
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Bunuel wrote:
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


Solution:

We see that Jed’s rate is 7 x 60 = 420 envelopes per hour, Ed’s rate is 3 x 60 = 180 envelopes per hour, Fred’s rate is 5 x 60 = 300 envelopes per hour. Thus, for a 600-envelope job, it will take Jed and Ed 300/(420 + 180) = 300/600 = 1/2 hour to stuff the first 300 envelopes and it will take Jed and Fred 300/(420 + 300) = 300/720 = 5/12 hour to stuff the remaining 300 envelopes. Thus the entire job will take 1/2 + 5/12 = 6/12 + 5/12 = 11/12 hour.

Answer: C
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink] New post   16 Oct 2020, 14:33
Jed + Ed combined rate = 10 envelopes / min
Jed + Fred combined rate = 12 envelopes / min

Half of 600 = 300

300 / 10 = 30 minutes
300 / 12 = 25 minutes

30 + 25 = 55 minutes = 11/12 hours. Answer is C.
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Re: Jed can stuff 7 envelopes per minute. Ed can stuff 3 envelopes per min [#permalink]
16 Oct 2020, 14:33
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