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# To do a certain work B would take three times as long as A and C

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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 677
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
To do a certain work B would take three times as long as A and C  [#permalink]

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17 Mar 2019, 21:21
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

57% (03:01) correct 43% (02:17) wrong based on 23 sessions

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To do a certain work B would take three times as long as A and C together and C twice as long as A and B together. The three men complete the work together in 10 days. How long would each take separately?

A. 20, 60, 40
B. 24, 40, 30
C. 10, 90, 20
D. 12, 90, 18
E. 24, 80, 36
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: To do a certain work B would take three times as long as A and C  [#permalink]

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19 Mar 2019, 12:12
DisciplinedPrep wrote:
To do a certain work B would take three times as long as A and C together and C twice as long as A and B together. The three men complete the work together in 10 days. How long would each take separately?

A. 20, 60, 40
B. 24, 40, 30
C. 10, 90, 20
D. 12, 90, 18
E. 24, 80, 36

we can solve
23*40+24*30+40*30 / 28800
option B matches to combined rate = 10 days
Re: To do a certain work B would take three times as long as A and C   [#permalink] 19 Mar 2019, 12:12
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