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Working at the same constant rate, p bricklayers can lay a

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Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 02 Mar 2013, 21:31
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Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)

Source: Gmat Hacks 1800

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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 02 Mar 2013, 22:54
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megafan wrote:
Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)

Source: Gmat Hacks 1800


P bricklayers q bricks/hour
1 bricklayer \(\frac{q}{p}\) bricks/hour
4 bricklayers \(\frac{4q}{p}\) bricks/hour
4 bricklayers at a rate of \(\frac{4q}{p}\)brikcs/hour for 8 hours = 8* \(\frac{4q}{p}\) = \(\frac{32q}{p}\)

Ans : E
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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 02 Mar 2013, 23:56
1
megafan wrote:
Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)

Source: Gmat Hacks 1800


p bricklayers can lay a total of q bricks per hour
So single person rate will be = \(q/p\)

how many bricks could One bricklayers lay in 8 hours:

R T W
\(q/p\) 8 = \(8q/p\)

how many bricks could 4 bricklayers lay in 8 hours

\(8q/p\) * 4 = \(32q/p\)
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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 12 Jan 2017, 14:54
Value Substitution works pretty well here.

To make life easy, lets say p = 4 and q = 10.

Then the question becomes: Working at the same constant rate, 4 bricklayers can lay a total of 10 bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

Well if those four can do 10 each hour, then after 8 hours they'll have done 80. So when p = 4 and q = 10, the answer is 80.

Plugging our numbers into the answer choices, we see that only E yields 80.
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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 16 Jan 2017, 17:15
megafan wrote:
Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)


We are given that p bricklayers lay a total of q bricks per hour. Thus, the rate for p bricklayers is q. We next need to determine the rate of 4 bricklayers. To determine that rate, we can create a proportion, in which r is the rate for the 4 bricklayers:

p/q = 4/r

pr = 4q

r = 4q/p

Using the formula for work, which is work = rate x time, we see that 4 bricklayers can lay (4q/p) x 8 = 32q/p bricks in 8 hours.

Answer: E
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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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New post 02 Feb 2017, 04:00
1) \(pr=\frac{q}{1}; r=\frac{q}{1}*\frac{1}{p}=\frac{q}{p}\)
2) \(4r=\frac{x}{8}; \frac{4q}{p}=\frac{x}{8}; xp=32q; x=\frac{32q}{p}\)
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Re: Working at the same constant rate, p bricklayers can lay a  [#permalink]

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Re: Working at the same constant rate, p bricklayers can lay a &nbs [#permalink] 27 Jul 2018, 10:21
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