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A farmer who grows strawberries defines a "workday yield" as the number of liters of strawberries that a worker is

Expert replies
by BTGmoderatorDC » Tue Sep 15, 2020 5:01 pm

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Answers

A

B

C

D

E

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Difficulty

A farmer who grows strawberries defines a "workday yield" as the number of liters of strawberries that a worker is required to pick in one day. Based on this definition, how many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?

(1) A workday yield is 45 liters
(2) The expected crop is 13,500 liters


OA C

Source: GMAT Prep
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Source: — Data Sufficiency |

[b]Working yield =[/b] number of liters of strawberries that a worker is required to pick per day

[b]Target question =>[/b] How many workers must the farmers hire to pick the entire expected crop of strawberries in 15 calendar days

[b]Statement 1 =>[/b] A workday yield is 45 liters
1 worker is expected to pick 45 liters of strawberries per day. Since the total quantity expected is unknown, we cannot evaluate the average quantity per day for a particular number of workers. Hence, statement 1 is NOT SUFFICIENT

[b]Statement 2 =>[/b] The expected crop is 13500 liters
For a period of 15 calendar days, the average quantity per day = 13500/15 = 900 liters per day but the workday yield of a worker is unknown so the total workers needed to produce 900 liters per day is unknown. Statement 2 is NOT SUFFICIENT

[b]Combining both statements together =>
From statement 1 =>[/b] workday yield = 45 liters
[b]From statement 2 => [/b]Average quantity per day = 900 liters
So, if 1 worker picks 45 liters
x worker will pick 900 liter
x = 900/45 = 20
The farmer is expected to have 20 workers to produce 900 liters per day and 13500 liters in 15 calendar days.
Both statements combined together ARE SUFFICIENT

[b]Answer = C[/b]
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