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Princeton Review
The employees at a lumberyard produce 12ft. planks of wood, which are then cut into 2ft. planks. If Jake can cut through a 12ft. plank six times per minute and Mary can cut through a 12ft. plank four times per minute, then working non-stop, how long would it take Jake and Mary to cut 10,000 12ft. planks into 60,000 2ft. planks?
A. 3.3 days
B. 3.5 days
C. 3.8 days
D. 4.2 days
E. 4.8 days
The employees at a lumberyard produce 12ft. planks of wood, which are then cut into 2ft. planks. If Jake can cut through a 12ft. plank six times per minute and Mary can cut through a 12ft. plank four times per minute, then working non-stop, how long would it take Jake and Mary to cut 10,000 12ft. planks into 60,000 2ft. planks?
A. 3.3 days
B. 3.5 days
C. 3.8 days
D. 4.2 days
E. 4.8 days
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Updated on: 07 Jan 2022, 11:12
Originally posted by gmatophobia on 07 Jan 2022, 09:07.
Last edited by gmatophobia on 07 Jan 2022, 11:12, edited 1 time in total.
Last edited by gmatophobia on 07 Jan 2022, 11:12, edited 1 time in total.
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Jake can cut a 12ft plank six times per min, So in one min Jake produces 7 planks each of which is 2ft.
Mary can cut a 12ft plank four times per min, So in one min Jake produces 5 planks each of which is 2ft.
Working together they can produced 12 planks each of which is 2ft.
We are required to find the time required (in days) to produce 60,000 planks
Time required = \(\frac{60000}{ 12 * 60 * 24}\)
Time required = \(\frac{1000 }{ 12 * 24}\)
We know that 100 / 25 equals to 4.
So, 1000 / 24, will be slightly more than 40.
IMO B
Mary can cut a 12ft plank four times per min, So in one min Jake produces 5 planks each of which is 2ft.
Working together they can produced 12 planks each of which is 2ft.
We are required to find the time required (in days) to produce 60,000 planks
Time required = \(\frac{60000}{ 12 * 60 * 24}\)
Time required = \(\frac{1000 }{ 12 * 24}\)
We know that 100 / 25 equals to 4.
So, 1000 / 24, will be slightly more than 40.
IMO B
07 Jan 2022, 11:00
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Bookmarks
To cut a 12ft. plank into 2ft. pieces the plank has to be cut 5 times.
Therefore, Jake cuts planks at rate of \(\frac{6}{5}\) per minute while Mary cuts \(\frac{4}{5}\) of a plank per minute.
Both working together cut at a rate of \(\frac{10}{5}\) = 2 planks per minute or 2,880 planks per day.
\(\frac{10,000}{2,880}\) equals roughly 3.5
IMO B.
Therefore, Jake cuts planks at rate of \(\frac{6}{5}\) per minute while Mary cuts \(\frac{4}{5}\) of a plank per minute.
Both working together cut at a rate of \(\frac{10}{5}\) = 2 planks per minute or 2,880 planks per day.
\(\frac{10,000}{2,880}\) equals roughly 3.5
IMO B.
