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# Earl can stuff advertising circulars into envelopes at the rate of 45

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Math Expert
Joined: 02 Sep 2009
Posts: 50708
Earl can stuff advertising circulars into envelopes at the rate of 45  [#permalink]

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05 Feb 2018, 05:54
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:42) correct 18% (03:51) wrong based on 73 sessions

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Earl can stuff advertising circulars into envelopes at the rate of 45 envelopes per minute and Ellen requires a minute and a half to stuff the same number of envelopes. Working together, how long will it take Earl and Ellen to stuff 300 envelopes?

(A) 15 minutes

(B) 4 minutes

(C) 3 minutes 30 seconds

(D) 3 minutes 20 seconds

(E) 2 minutes

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Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: Earl can stuff advertising circulars into envelopes at the rate of 45  [#permalink]

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05 Feb 2018, 06:12
Ellen rate = 2/3 * Earl rate = 2/3 * 45 = 30
combined rate = 45+30=75 per minute
300/75=4 min
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3309
Location: India
GPA: 3.12
Earl can stuff advertising circulars into envelopes at the rate of 45  [#permalink]

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05 Feb 2018, 06:19
Bunuel wrote:
Earl can stuff advertising circulars into envelopes at the rate of 45 envelopes per minute and Ellen requires a minute and a half to stuff the same number of envelopes. Working together, how long will it take Earl and Ellen to stuff 300 envelopes?

(A) 15 minutes

(B) 4 minutes

(C) 3 minutes 30 seconds

(D) 3 minutes 20 seconds

(E) 2 minutes

Earl's rate - 45 envelopes per minute (or) 3 envelopes in 4 seconds
Ellen's rate - 45 envelopes per minute and a half (or) 2 envelopes in 4 seconds.

Working together they can stuff 3+2 = 5 envelopes in 4 seconds.

Therefore, the time taken by both of them to fill 300 envelopes is $$300*\frac{4}{5}$$ = 240 seconds = 4 minutes(Option B)
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Intern
Joined: 25 Dec 2014
Posts: 24
Location: India
Concentration: Healthcare, Strategy
GMAT 1: 680 Q47 V38
GRE 1: Q164 V160
GPA: 3.65
WE: Pharmaceuticals (Pharmaceuticals and Biotech)
Re: Earl can stuff advertising circulars into envelopes at the rate of 45  [#permalink]

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05 Feb 2018, 19:13
Earl's rate= 45 Envelopes/min
Ellen's rate= 45* 2/3= 30 Envelopes/min

so Both together can stuff 75 envelope/min.
75 Envelope ---> 1 min
300 Envelope ---> 300/75= 4 min
Ans B= 4min
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Posts: 2830
Re: Earl can stuff advertising circulars into envelopes at the rate of 45  [#permalink]

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06 Feb 2018, 16:55
Bunuel wrote:
Earl can stuff advertising circulars into envelopes at the rate of 45 envelopes per minute and Ellen requires a minute and a half to stuff the same number of envelopes. Working together, how long will it take Earl and Ellen to stuff 300 envelopes?

(A) 15 minutes

(B) 4 minutes

(C) 3 minutes 30 seconds

(D) 3 minutes 20 seconds

(E) 2 minutes

We see that Earl’s rate is 45 envelopes/minute and Ellen’s rate is 45/1.5 = 30 envelopes/minute. Thus, their combined rate is 45 + 30 = 75 envelopes/minute.

Thus, it will take them 300/75 = 4 minutes to stuff 300 envelopes.

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Re: Earl can stuff advertising circulars into envelopes at the rate of 45 &nbs [#permalink] 06 Feb 2018, 16:55
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