I01-09

Question

On a given date, three brothers, Lawrence, Gerald, and Bernard each pick apples for five hours at a constant hourly rate of at least one apple per hour. Barry picks apples three times faster than does Larry, and half as fast as Garry does.

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

pearrrrrrr · Answer

Hi  bb   Bunuel 
Could you please provide explanation?

i think this one is a part of TWO-PART ANALYSIS question.

Aryan19852 · Answer

I don't know if it's the right strategy but I got my answer like this
B=3L
B=1/2G 
Now whatever total apples would be picked by Garry it's half would be taken by Barry 
Look through the options If garry picks 12 apples/hr in 5 hours he will pick 60 apples and it's half will be 30

anish0953 · Answer

Once the number of apples picked by Barry is determined to be 30, it is known that Barry's rate of apple picking is 6 apples per hour. Since Barry's rate is half that of Garry's, it is known that Garry picks 12 apples per hour. The correct answer is B Work backwards.

If Barry picks 5 apples, then his rate is 1 apple per hour, and Larry cannot pick 1/3 apples per hour. Eliminate choice A.

If Barry picks 12 apples, then his rate is 2.4 apples per hour, and Larry cannot pick 4/5 apples per hour. Eliminate choice B.

If Barry picks 18 apples, then his rate is 3.6 apples per hour. Larry could pick 1.2 apples per hour for a total of 6 apples in five hours, but 7.2 is not an available number of available apples per hour for Garry to pick per hour. Eliminate choice C.

If Barry picks 24 apples, then his rate is 4.8 apples per hour. Larry could pick 1.6 apples per hour for a total of 8 apples in five hours, but 9.6 is not an available number of apples per hour for Garry to pick per hour. Eliminate choice D.

If Barry picks 25 apples, then his rate is 5 apples per hour, and Larry cannot pick 5/3 apples per hour for a total of 8 and one third apples. Eliminate choice E.

If Barry picks 30 apples, then his rate is 6 apples per hour. Larry could pick 2 apples per hour for a total of 10 apples in five hours, and 12 is an available number of apples per hour for Garry to pick per hour. The correct answer is F

Bunuel · Answer

Official Solution:

On a particular day, three brothers, Larry, Garry, and Barry each pick apples for five hours at a constant rate of at least one apple per hour. Barry picks apples three times faster than does Larry, and half as fast as Garry does.

In the table, select for 'Apples picked per Hour by Garry' a possible number of apples picked per hour by Garry and select for 'Total apples picked by Barry' a possible number of total apples picked by Barry that would be jointly consistent with the given information. Make only two selections, one in each column.

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

Work backwards.

If Barry picks 5 apples, then his rate is 1 apple per hour, and Larry cannot pick 1/3 apples per hour. Eliminate choice A.

If Barry picks 12 apples, then his rate is 2.4 apples per hour, and Larry cannot pick 4/5 apples per hour. Eliminate choice B.

If Barry picks 18 apples, then his rate is 3.6 apples per hour. Larry could pick 1.2 apples per hour for a total of 6 apples in five hours, but 7.2 is not an available number of available apples per hour for Garry to pick per hour. Eliminate choice C.

If Barry picks 24 apples, then his rate is 4.8 apples per hour. Larry could pick 1.6 apples per hour for a total of 8 apples in five hours, but 9.6 is not an available number of apples per hour for Garry to pick per hour. Eliminate choice D.

If Barry picks 25 apples, then his rate is 5 apples per hour, and Larry cannot pick 5/3 apples per hour for a total of 8 and one third apples. Eliminate choice E.

If Barry picks 30 apples, then his rate is 6 apples per hour. Larry could pick 2 apples per hour for a total of 10 apples in five hours, and 12 is an available number of apples per hour for Garry to pick per hour.

Answer: F

Bunuel · Answer

Official Solution:

On a particular day, three brothers, Larry, Garry, and Barry each pick apples for five hours at a constant rate of at least one apple per hour. Barry picks apples three times faster than does Larry, and half as fast as Garry does.

In the table, select for 'Apples picked per Hour by Garry' a possible number of apples picked per hour by Garry and select for 'Total apples picked by Barry' a possible number of total apples picked by Barry that would be jointly consistent with the given information. Make only two selections, one in each column.

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

Work backwards.

If Barry picks 5 apples, then his rate is 1 apple per hour, and Larry cannot pick 1/3 apples per hour. Eliminate choice A.

If Barry picks 12 apples, then his rate is 2.4 apples per hour, and Larry cannot pick 4/5 apples per hour. Eliminate choice B.

If Barry picks 18 apples, then his rate is 3.6 apples per hour. Larry could pick 1.2 apples per hour for a total of 6 apples in five hours, but 7.2 is not an available number of available apples per hour for Garry to pick per hour. Eliminate choice C.

If Barry picks 24 apples, then his rate is 4.8 apples per hour. Larry could pick 1.6 apples per hour for a total of 8 apples in five hours, but 9.6 is not an available number of apples per hour for Garry to pick per hour. Eliminate choice D.

If Barry picks 25 apples, then his rate is 5 apples per hour, and Larry cannot pick 5/3 apples per hour for a total of 8 and one third apples. Eliminate choice E.

If Barry picks 30 apples, then his rate is 6 apples per hour. Larry could pick 2 apples per hour for a total of 10 apples in five hours, and 12 is an available number of apples per hour for Garry to pick per hour.

Answer: F

Bunuel · Answer

Official Solution:

On a particular day, three brothers, Larry, Garry, and Barry each pick apples for five hours at a constant rate of at least one apple per hour. Barry picks apples three times faster than does Larry, and half as fast as Garry does.

In the table, select for 'Apples picked per Hour by Garry' a possible number of apples picked per hour by Garry and select for 'Total apples picked by Barry' a possible number of total apples picked by Barry that would be jointly consistent with the given information. Make only two selections, one in each column.

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

Work backwards.

If Barry picks 5 apples, then his rate is 1 apple per hour, and Larry cannot pick 1/3 apples per hour. Eliminate choice A.

If Barry picks 12 apples, then his rate is 2.4 apples per hour, and Larry cannot pick 4/5 apples per hour. Eliminate choice B.

If Barry picks 18 apples, then his rate is 3.6 apples per hour. Larry could pick 1.2 apples per hour for a total of 6 apples in five hours, but 7.2 is not an available number of available apples per hour for Garry to pick per hour. Eliminate choice C.

If Barry picks 24 apples, then his rate is 4.8 apples per hour. Larry could pick 1.6 apples per hour for a total of 8 apples in five hours, but 9.6 is not an available number of apples per hour for Garry to pick per hour. Eliminate choice D.

If Barry picks 25 apples, then his rate is 5 apples per hour, and Larry cannot pick 5/3 apples per hour for a total of 8 and one third apples. Eliminate choice E.

If Barry picks 30 apples, then his rate is 6 apples per hour. Larry could pick 2 apples per hour for a total of 10 apples in five hours, and 12 is an available number of apples per hour for Garry to pick per hour.

Answer: F

Bunuel · Answer

Official Solution:

On a particular day, three brothers, Larry, Garry, and Barry each pick apples for five hours at a constant rate of at least one apple per hour. Barry picks apples three times faster than does Larry, and half as fast as Garry does.

In the table, select for 'Apples picked per Hour by Garry' a possible number of apples picked per hour by Garry and select for 'Total apples picked by Barry' a possible number of total apples picked by Barry that would be jointly consistent with the given information. Make only two selections, one in each column.

Total Apples Picked by Barry

A. 5
B. 12
C. 18
D. 24
E. 25

Work backwards.

If Barry picks 5 apples, then his rate is 1 apple per hour, and Larry cannot pick 1/3 apples per hour. Eliminate choice A.

If Barry picks 12 apples, then his rate is 2.4 apples per hour, and Larry cannot pick 4/5 apples per hour. Eliminate choice B.

If Barry picks 18 apples, then his rate is 3.6 apples per hour. Larry could pick 1.2 apples per hour for a total of 6 apples in five hours, but 7.2 is not an available number of available apples per hour for Garry to pick per hour. Eliminate choice C.

If Barry picks 24 apples, then his rate is 4.8 apples per hour. Larry could pick 1.6 apples per hour for a total of 8 apples in five hours, but 9.6 is not an available number of apples per hour for Garry to pick per hour. Eliminate choice D.

If Barry picks 25 apples, then his rate is 5 apples per hour, and Larry cannot pick 5/3 apples per hour for a total of 8 and one third apples. Eliminate choice E.

If Barry picks 30 apples, then his rate is 6 apples per hour. Larry could pick 2 apples per hour for a total of 10 apples in five hours, and 12 is an available number of apples per hour for Garry to pick per hour.

Answer: F

I01-09

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