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C
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Difficulty:
35%
(medium)
Question Stats:
83% (02:22) correct
17%
(02:14)
wrong
based on 42
sessions
History
Date
Time
Result
Not Attempted Yet
Andreas and Bruno each work at a constant rate. Andreas can clear a garden plot working alone in 50 days. He works for 5 days and then leaves. The remaining work is cleared by Bruno working alone in 30 days. In how many days can Andreas and Bruno clear the entire plot if they work together from the start?
A. 16 2/3
B. 18 3/4
C. 20
D. 22 1/2
E. 25
A. 16 2/3
B. 18 3/4
C. 20
D. 22 1/2
E. 25
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M47-10
10 Feb 2026, 11:15
Kudos
Bookmarks
Bunuel
GMAT Club Official Solution:
Total work = 1
Andreas rate = 1/50
Work done in 5 days = 5 * 1/50 = 1/10
Remaining work = 1 - 1/10 = 9/10
Bruno does 9/10 in 30 days
Bruno rate = (9/10)/30 = 9/300 = 3/100
Together rate = 1/50 + 3/100 = 1/20
Time together = 1/(1/20) = 20
Answer: C
General Discussion
02 Feb 2026, 08:14
Kudos
Bookmarks
Andreas clears the plot in 50 days, so his rate is \(\frac{1}{50}\) per day. He works 5 days, completing 5 × \(\frac{ 1}{50}\) = \(\frac{1}{10}\) of the plot.
The remaining \(\frac{9}{10}\) is cleared by Bruno in 30 days,
so Bruno's rate is \(\frac{9}{10}\) × \(\frac{1}{30}\) =\( \frac{9}{300}\) = \(\frac{3}{100}\) per day.
Together, their combined rate is \(\frac{1}{50}\) + \(\frac{3}{100}\) = \(\frac{2}{100}\) + \(\frac{3}{100}\) = \(\frac{5}{100}\) = \(\frac{1}{20}\) per day,
so they complete the plot in 20 days.
ANS = C
The remaining \(\frac{9}{10}\) is cleared by Bruno in 30 days,
so Bruno's rate is \(\frac{9}{10}\) × \(\frac{1}{30}\) =\( \frac{9}{300}\) = \(\frac{3}{100}\) per day.
Together, their combined rate is \(\frac{1}{50}\) + \(\frac{3}{100}\) = \(\frac{2}{100}\) + \(\frac{3}{100}\) = \(\frac{5}{100}\) = \(\frac{1}{20}\) per day,
so they complete the plot in 20 days.
ANS = C
