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B
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Difficulty:
95%
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Question Stats:
63% (02:28) correct
37%
(03:06)
wrong
based on 205
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A farmer worked on clearing a field over two days. On the second day, the farmer’s rate was 8 square meters per hour less than on the first day. Over the two days together, the farmer cleared 240 square meters in 14 hours of work. Which of the following could be the farmer’s rate, in square meters per hour, on the second day?
I. 9
II. 14
III. 19
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
M46-11
I. 9
II. 14
III. 19
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
M46-11
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18 Dec 2025, 10:00
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Bunuel
GMAT Club Official Explanation:
The average rate over the two days is 240/14 ≈ 17.1. An average must lie between the individual rates. If the rate on the second day was r and the rate on the first day was r + 8, then the average of 17.1 must satisfy r < 17.1 < r + 8.
Now let's check the options:
I. 9
If r = 9, then r + 8 = 17. Both rates (9 and 17) are below the average of 17.1, which is not possible.
II: 14
If r = 14, then r + 8 = 22. The average of 17.1 lies between 14 and 22, so this is possible.
III: 19
If r = 19, then r + 8 = 27. Both rates (19 and 27) are above the average of 17.1, which is not possible.
Answer: B.
General Discussion
18 Dec 2025, 09:09
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taking avg of speed done on both day
a be speeed on day 1, b be speed on day 2
240/14 = 17.14
now seeing if the two days speed can make above average work
case 1 b = 9 , a= 17
not possible as avg cant be more than the max numebr
case 2 b = 14, a= 22
can be possible as avg lie betwenn both number
case 3 b =19, b = 27
not possible as avg cant be less than lower number
hence ans is B
a be speeed on day 1, b be speed on day 2
240/14 = 17.14
now seeing if the two days speed can make above average work
case 1 b = 9 , a= 17
not possible as avg cant be more than the max numebr
case 2 b = 14, a= 22
can be possible as avg lie betwenn both number
case 3 b =19, b = 27
not possible as avg cant be less than lower number
hence ans is B
