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If 45 people built of a pyramid
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16 Sep 2018, 07:44
16 Sep 2018, 07:44
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If 45 people built\(\frac{1}{2}\) of a pyramid in 288 days, how many days did it take 65 people to build the next \(\frac{1}{6}\) the pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?
Show: :: OA
66
Re: If 45 people built of a pyramid
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16 Sep 2018, 10:55
16 Sep 2018, 10:55
1
AchyuthReddy wrote:
If 45 people built\(\frac{1}{2}\) of a pyramid in 288 days, how many days did it take 65 people to build the next \(\frac{1}{6}\) the pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?
The official answer is 66
With solution as follows:
To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time.
Solve for an individual worker’s rate, plugging in the fact that 45 people built ½ of a pyramid in 288 days:
1/2 pyramid = (R)(45)(288 days) R = 1/25,920 pyramid per day
That is, each person can build of a pyramid in 1 day.
Now put this rate into the work equation, together with the remaining details in the problem:
1/6 = (1/25,920)(65)(T) T ≈ 66.46 days
Rounded to the nearest integer, the answer is 66 days
The problems states next \(\frac{1}{6}\) but solution considered normal\(\frac{1}{6}\) why?
The official answer is 66
With solution as follows:
To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time.
Solve for an individual worker’s rate, plugging in the fact that 45 people built ½ of a pyramid in 288 days:
1/2 pyramid = (R)(45)(288 days) R = 1/25,920 pyramid per day
That is, each person can build of a pyramid in 1 day.
Now put this rate into the work equation, together with the remaining details in the problem:
1/6 = (1/25,920)(65)(T) T ≈ 66.46 days
Rounded to the nearest integer, the answer is 66 days
The problems states next \(\frac{1}{6}\) but solution considered normal\(\frac{1}{6}\) why?
Can I plz request you to READ THE RULES OF POSTING
https://gre.myprepclub.com/forum/rules-for ... -1083.html
As you have already 31 post under your belt plz read it as it will help to the forum. Moreover plz put your reasoning in separate reply
Re: If 45 people built of a pyramid
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16 Sep 2018, 11:10
16 Sep 2018, 11:10
2
AchyuthReddy wrote:
If 45 people built\(\frac{1}{2}\) of a pyramid in 288 days, how many days did it take 65 people to build the next \(\frac{1}{6}\) the pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?
Show: :: OA
66
We Know,
Work = Individual Rate × Number of Workers × Time
Now plugging the values we have,
\(\frac{1}{2}\) pyramid = Individual Rate * 45 * 288
or Individual Rate = \(\frac{1}{25920}\) pyramid per day
Now we need to find the no. of days for 65 people to build the \(\frac{1}{6}\)of pyramid
We know,
Work = Individual Rate × Number of Workers × Time
\(\frac{1}{6} = \frac{1}{25920} *65 * T\)
Time = 66.46 days i.e. 66 days rounded to nearest integer
