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# Alain and Brenda were each given 50 envelopes to address

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EMPOWERgmat Instructor
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22 Oct 2019, 23:25
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:20) correct 19% (01:35) wrong based on 31 sessions

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EMPOWERgmat DS Series:
Pack 3, Question 4

Alain and Brenda were each given 50 envelopes to address as part of a charity drive. How much time did it take Alain to address the envelopes he was given?

(1) Alain addressed his envelopes in 1.2 times the amount of time it took Brenda to address her envelopes.
(2) If Alain and Brenda had addressed 50 envelopes together, each working at the same rate as when they worked separately, it would have taken them 1 hour
and 50 minutes to address all the envelopes.

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Re: Alain and Brenda were each given 50 envelopes to address  [#permalink]

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23 Oct 2019, 05:59
Let time taken by Alain and Brenda to address the envelopes be a and b respectively.

We need to find vale of a=

Statement 1)
a=1.2b
Not sufficient

Statement 2)
1/ a + 1/ b = 1/ 110 min
Not sufficient

1) and 2)
2 equation 2 variable

Therefore C

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Re: Alain and Brenda were each given 50 envelopes to address   [#permalink] 23 Oct 2019, 05:59
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