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Difficulty:
25%
(medium)
Question Stats:
81% (01:19) correct
19%
(01:12)
wrong
based on 42
sessions
History
Date
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Not Attempted Yet
Alan and Brian each work at a constant rate, and Alan can do twice as much work per day as Brian. Working together, they complete a piece of work in 20 days. In how many days can Alan complete the work working alone?
A. 20 days
B. 24 days
C. 30 days
D. 40 days
E. 60 days
A. 20 days
B. 24 days
C. 30 days
D. 40 days
E. 60 days
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M47-07
10 Feb 2026, 08:30
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Bunuel
GMAT Club Official Solution:
Let Brian’s rate = 1 unit/day.
Then Alan’s rate = 2 units/day.
Together rate = 1 + 2 = 3 units/day.
They finish in 20 days, so total work = 20*3 = 60 units.
Alan alone time = 60/2 = 30 days.
Answer: C.
General Discussion
02 Feb 2026, 06:40
Kudos
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Lets take the Rate of work for Brian as R, hence rate of work for Alan is 2R. Total work volume = Rate*Time = Rate of both * Time taken by both = (R+2R)*20= 60R
Time for Alan to complete the work alone = Work Volume/Alan Rate = 60R/2R = 30 OPTION C
Time for Alan to complete the work alone = Work Volume/Alan Rate = 60R/2R = 30 OPTION C
