A farmer who grows strawberries defines a "workday yiel

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Tue Jun 25, 2019 8:18 pm

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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: Beat The GMAT — Data Sufficiency | Tue Jun 25, 2019 8:18 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Fri Jul 05, 2019 8:01 am

$$one\ workday\ yield=\frac{Litre}{Wor\ker}$$
Question=> How many workers must the farmer hire to pick the entire expected crop of strawberries in 15 calendar days?
$$15\cdot wy=\frac{L}{w}$$
Statement 1 => A work day yield = 45 liters
$$15\cdot45=\frac{L}{x}$$
Liters of crops to be picked by workers is unknown. Hence, statement 1 is INSUFFICIENT

Statement 2=> The expected crop is 13,500 liters
$$15\cdot wy=\frac{13500}{x};\ workday\ yield\ is\ unknown.$$
Hence, statement 2 is INSUFFICIENT

Let's combine both statement 1 and statement 2 together =>
wy = 45l; L = 13,500l
$$15\cdot45=\frac{13500}{x}$$ $$675\cdot x=13500$$ $$x=\frac{13500}{675}=\ 20\ workers\ needed$$

Therefore, both statement combined together are SUFFICIENT. Thus, option C is the correct answer

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