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A hunting lodge has enough fuel to keep 20 rooms heated for

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Director
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A hunting lodge has enough fuel to keep 20 rooms heated for [#permalink] New post 11 Nov 2017, 01:08
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A hunting lodge has enough fuel to keep 20 rooms heated for fourteen days. If the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it, how many extra FULL days will the fuel supply last?

(A) 3
(B) 4
(C) 5
(D) 18
(E) 19

I have a doubt about the OA, so please give me your insight, then I'll disclose it to you.
[Reveal] Spoiler: OA
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CEO
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GRE 1: 323 Q167 V156
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Re: A hunting lodge has enough fuel to keep 20 rooms heated for [#permalink] New post 11 Nov 2017, 07:05
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IlCreatore wrote:
A hunting lodge has enough fuel to keep 20 rooms heated for fourteen days. If the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it, how many extra FULL days will the fuel supply last?

(A) 3
(B) 4
(C) 5
(D) 18
(E) 19

I have a doubt about the OA, so please give me your insight, then I'll disclose it to you.


The lodge has fuel for 20 rooms heated for (14) days = 280 “fuel-days” of fuel. Fuel day is fuel required to heat one room for one day.

If the lodge only needs to heat 15 rooms instead of 20, divide 280 by 15 to get 18.666….

You are asked for FULL days, so round down to get 18.

So originally we had heated room for 14 days now we have 18. Hence there are 4 more days.

Hence option B is correct!
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Director
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Re: A hunting lodge has enough fuel to keep 20 rooms heated for [#permalink] New post 13 Nov 2017, 09:37
sandy wrote:
IlCreatore wrote:
A hunting lodge has enough fuel to keep 20 rooms heated for fourteen days. If the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it, how many extra FULL days will the fuel supply last?

(A) 3
(B) 4
(C) 5
(D) 18
(E) 19

I have a doubt about the OA, so please give me your insight, then I'll disclose it to you.


The lodge has fuel for 20 rooms heated for (14) days = 280 “fuel-days” of fuel. Fuel day is fuel required to heat one room for one day.

If the lodge only needs to heat 15 rooms instead of 20, divide 280 by 15 to get 18.666….

You are asked for FULL days, so round down to get 18.

So originally we had heated room for 14 days now we have 18. Hence there are 4 more days.

Hence option B is correct!


Thank you, you comfort me. I spent hours trying to understand why ManhattanPrep reported OA as D. We are asked EXTRA full days, not full days.
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Re: A hunting lodge has enough fuel to keep 20 rooms heated for [#permalink] New post 14 Nov 2017, 07:58
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Expert's post
IlCreatore wrote:
A hunting lodge has enough fuel to keep 20 rooms heated for fourteen days. If the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it, how many extra FULL days will the fuel supply last?

(A) 3
(B) 4
(C) 5
(D) 18
(E) 19


Let's assign some "nice" values to this scenario.
Let's say that we're heating the rooms with firewood, and it takes 1 log to heat the room for 1 day.

A hunting lodge has enough fuel to keep 20 rooms heated for 14 days
So, heating 20 rooms would require 20 logs/day.
So, in 14 days, the NUMBER of logs the lodge need to burn = (20)(14) = 280
In other words, the lodge has 280 logs

...the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it
So, we will heat only 15 rooms, and each room burns 1 log per day.
So, the number of DAYS the logs will last = 280/15 = 18 2/3

How many extra FULL days will the fuel supply last?
Answer = 18 2/3 days - 14 days = 4 2/3 days

The question asks for FULL days, so turning off the heat to 5 rooms will extend the fuel supply by 4 FULL days.

Cheers,
Brent
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Re: A hunting lodge has enough fuel to keep 20 rooms heated for   [#permalink] 14 Nov 2017, 07:58
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