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27 Nov 2024, 10:35
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Garry's rate (apples per hour): 78
Total apples picked by Larry: 65
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
47% (02:15) correct
53%
(02:02)
wrong
based on 405
sessions
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Three brothers—Larry, Garry, and Barry—each spend five hours picking apples at their own constant rate. Barry picks apples at three times Larry's rate and half of Garry's rate.
In the table, select values for Garry's rate (apples per hour) and Total apples picked by Larry that are jointly consistent with the information provided. Make only two selections, one in each column.
In the table, select values for Garry's rate (apples per hour) and Total apples picked by Larry that are jointly consistent with the information provided. Make only two selections, one in each column.
| Garry's rate (apples per hour) | Total apples picked by Larry | |
| 6 | ||
| 13 | ||
| 52 | ||
| 65 | ||
| 78 | ||
| 390 |
ShowHide Answer
Official Answer
Garry's rate (apples per hour): 78
Total apples picked by Larry: 65
01 Dec 2024, 20:30
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Bunuel
Official Solution:
Assuming Larry's rate is \(x\) apples per hour, Barry's rate will be \(3x\) apples per hour, and Garry's rate will be \(6x\) apples per hour. We need jointly consistent values for Garry's rate (apples per hour), \(6x\), and Total apples picked by Larry, which in 5 hours would be \(5x\) apples. Thus, the ratio of the value in the left column to the value in the right column must be 6 to 5. Only 78 and 65 satisfy this condition.
Correct answer:
Garry's rate (apples per hour) "78"
Total apples picked by Larry "65"
Attachment:
GMAT-Club-Forum-so1c8nzv.png [ 14.21 KiB | Viewed 1632 times ]
General Discussion
27 Nov 2024, 17:42
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1. Let Larry, Garry, and Barry have rates L, G, and B.
2. It is known that B = 3L and 2B = G. That means 6L = G.
3. Let the total number of apples picked by Larry be x. Since they were picking apples over 5 hours, then x = 5L or L = \(\frac{x}{5}\).
4. We are given no further information and need to find x and G. So, let's look at the ratio: \(6 * \frac{x}{5} = G \rightarrow \frac{x}{G} = \frac{5}{6}\).
5. The only options that fit this ratio are 65 and 78 (\(\frac{65}{78} = \frac{13 * 5}{13 * 6} = \frac{5}{6} = \frac{x}{G}\)).
6. So, our answer is: Garry's rate - 78 and Total apples picked by Larry - 65.
2. It is known that B = 3L and 2B = G. That means 6L = G.
3. Let the total number of apples picked by Larry be x. Since they were picking apples over 5 hours, then x = 5L or L = \(\frac{x}{5}\).
4. We are given no further information and need to find x and G. So, let's look at the ratio: \(6 * \frac{x}{5} = G \rightarrow \frac{x}{G} = \frac{5}{6}\).
5. The only options that fit this ratio are 65 and 78 (\(\frac{65}{78} = \frac{13 * 5}{13 * 6} = \frac{5}{6} = \frac{x}{G}\)).
6. So, our answer is: Garry's rate - 78 and Total apples picked by Larry - 65.
