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

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Math Expert
Joined: 02 Sep 2009
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In a certain village, m litres of water are required per household per  [#permalink]

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13 May 2016, 03:52
1
3
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:11) correct 30% (01:23) wrong based on 209 sessions

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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

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

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13 May 2016, 06:10
1
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
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Re: In a certain village, m litres of water are required per household per  [#permalink]

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13 May 2016, 09:28
1
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

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

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13 May 2016, 14:40
1
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)

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Posts: 1003
Re: In a certain village, m litres of water are required per household per  [#permalink]

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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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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..

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