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Working at the same constant rate, p bricklayers can lay a
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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
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02 Mar 2013, 22:54
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
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02 Mar 2013, 23:56
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
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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
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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
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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
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27 Jul 2018, 10:21
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