I01-08

Question

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.

Bunuel · Answer

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"

Bunuel · Answer

I have revised the question, solution, and formatting by adding more details to enhance clarity.

hitesharyan · Answer

I don't see the 'picked in 5 hours' part in the question

Bunuel · Answer

Check below: https://gmatclub.com/forum/download/file.php?id=83360 GMAT-Club-Forum-tob414ya.png

hitesharyan · Answer

Missed that

Thanks!

tgmat24 · Answer

I think this is a  high-quality  question and I agree with explanation.

Manvi01 · Answer

I like the solution - it’s helpful.

dfchaves · Answer

The total apples picked by Larry should be in the 5 hours, not in 1 hour. I did this interpretation. Why is it wrong?

Bunuel · Answer

Please re-read the solution. Larry’s rate is x apples per hour, and we are considering the total number of apples picked in 5 hours, which is 5x.

VizzyFanboy · Answer

This is a great question that’s helpful for learning and I like the solution - it’s helpful.

ishneetkaur28 · Answer

I did not quite understand the solution. In the 1st column, we need to mark apples per hour and not the total number of apples.

Bunuel · Answer

Not sure what your doubt is. The question clearly defines the first column as a  rate  (apples per hour), and the solution correctly uses it as such. There’s no confusion between rate and total in the solution.

srilekhanune · Answer

I like the solution - it’s helpful.

enidaddams · Answer

I like the solution - it’s helpful.

jchonkar · Answer

I like the solution - it’s helpful.

Mohnish2702 · Answer

I like the solution - it’s helpful.

avellanjc · Answer

Hi, 
I did end up with the same 5x and 6x relationshiop between Larrys work and Garys Rate. However, when picking the solutions I first started by looking which values could work for Larrys rate (must be mult of 5)  . Then I worked backwards 65, by figuring out what x must be and then what 6x must be. Since both values are in answer choices (65 and 78), those must be the correct ones.

Is there a faster way to immediately recognize the numbers that satisfy the ratios 5x and 6x, so as to not have to waste valuable time eliminating answer choices?

Regards,

Juan C. Avellan

Bunuel · Answer

Larry’s total must be a multiple of 5 and Garry’s rate must be a multiple of 6. In the options, the only multiples of 5 are 65 and 390. 390 can’t work because there’s no larger matching value for Garry. That leaves 65 for Larry, and the only number greater than 65 that fits is 78. So the correct pair is 65 and 78.

OneLazyBum · Answer

I like the solution - it’s helpful.

I01-08

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Garry's rate (apples per hour)	Total apples picked by Larry
		6
		13
		52
		65
		78
		390