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In a certain village, m litres of water are required per household per

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In a certain village, m litres of water are required per household per [#permalink]

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New post 13 May 2016, 03:52
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In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

A. p /mn
B. mn / p
C. mp / n
D. np / m
E. npm
[Reveal] Spoiler: OA

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Re: In a certain village, m litres of water are required per household per [#permalink]

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New post 13 May 2016, 06:10
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Total water required per month for N houses = M x N
Total Water Available = P
Hence time until which this will be available = P/ MN
Answer is A
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Re: In a certain village, m litres of water are required per household per [#permalink]

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New post 13 May 2016, 09:28
Bunuel wrote:
In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

A. p /mn
B. mn / p
C. mp / n
D. np / m
E. npm


Quote:
m litres of water are required per household per month.... there are n households in the village


Monthly requirement of water by the village is m*n =mn litres

Quote:
how long (in months) will p litres of water last?


P litres water will last for \(\frac{p}{mn}\) Litres

Answer will be (A)
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In a certain village, m litres of water are required per household per [#permalink]

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New post 13 May 2016, 14:40
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I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:

In a certain village, m10 litres of water are required per household per month. At this rate, if there are n5 households in the village, how long (in months) will p200 litres of water last?

Reading with numbers it is super easy now.

Water required is 10*5 =50 (m*n)
Water available is 200 (p)

It will last 4 months (p/m*n)


Answer (A)
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Re: In a certain village, m litres of water are required per household per [#permalink]

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New post 29 Jan 2017, 06:39
Bunuel wrote:
In a certain village, m litres of water are required per household per month. At this rate, if there are n households in the village, how long (in months) will p litres of water last?

A. p /mn
B. mn / p
C. mp / n
D. np / m
E. npm


Alternative approach

Just work over units in each options

A. p/mn =
p=lts
m= lts/house/month
n= house

thus p/mn = month....which is time required ....

Ans A
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Re: In a certain village, m litres of water are required per household per [#permalink]

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New post 02 Feb 2018, 10:52
Hi All,

This question can be solved by TESTing VALUES.

IF...
M = 2
N = 3

Then we know that 2 liters are required per household per month and that there are 3 households in the village. In this scenario, we will need 6 liters per month.

P = 12 liters means that this water will last for 2 months, so we're looking for an answer that equals 2 when we plug in the three VALUES chosen.

There's only one answer that matches..

Final Answer:
[Reveal] Spoiler:
A


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Re: In a certain village, m litres of water are required per household per   [#permalink] 02 Feb 2018, 10:52
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