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

Question

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

ConnectTheDots · Accepted Answer

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

shanmugamgsn · Answer

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

GMATAcademy · Answer

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.

JeffTargetTestPrep · Answer

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

cavana · Answer

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}

u1983 · Answer

p bricklayers in 1 hr lay q bricks
Hence 1 bricklayer in 1 hr lays  \frac{q}{p}  bricks
Hence 8 bricklayer in 8 hr lay  \frac{q*8*4}{p}  bricks i.e.,  \frac{32q}{p}  bricks ....   ANS e

ThatDudeKnows · Answer

Variables in the question that are repeated in the answer choices? We can Plug In!!

Let's give ourselves easy numbers...p=4 and q=0.125. How many do they lay in 8 hours? 1 lousy brick.

We can tell by glancing at the answer choices that any with q or 2q in the denominator and p in the numerator are going to be (far) greater than 1.

Answer choice E.

ThatDudeKnowsPluggingIn

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

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