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A supply of heating oil lasts for thirty days. If its use is increased

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A supply of heating oil lasts for thirty days. If its use is increased  [#permalink]

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New post 11 Aug 2019, 05:48
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A
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  45% (medium)

Question Stats:

54% (01:08) correct 46% (01:13) wrong based on 24 sessions

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Re: A supply of heating oil lasts for thirty days. If its use is increased  [#permalink]

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New post 11 Aug 2019, 06:59
As its use increases 50% that is its use multiples by 3/2 so the supply decreases 50% and lasts 15 days.
Option A

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Re: A supply of heating oil lasts for thirty days. If its use is increased  [#permalink]

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New post 11 Aug 2019, 07:54
Bunuel wrote:
A supply of heating oil lasts for thirty days. If its use is increased by 50%, how many days would the same amount of heating oil last?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 45


Given: A supply of heating oil lasts for thirty days. Its use is increased by 50%.

Asked: How many days would the same amount of heating oil last?

Let consumption of heating oil per day be x
30x amount of heating oil is sufficient for 30 days

Its use is increased by 50%.
Use is now 1.5x per day

Supplies will last = 30x/1.5x = 20 days

IMO B
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Re: A supply of heating oil lasts for thirty days. If its use is increased  [#permalink]

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New post 11 Aug 2019, 15:41
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Bunuel wrote:
A supply of heating oil lasts for thirty days. If its use is increased by 50%, how many days would the same amount of heating oil last?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 45


old rate=1/30
new rate=3/2*1/30=1/20
20 days
B
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Re: A supply of heating oil lasts for thirty days. If its use is increased  [#permalink]

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New post 14 Aug 2019, 20:13
Bunuel wrote:
A supply of heating oil lasts for thirty days. If its use is increased by 50%, how many days would the same amount of heating oil last?

(A) 15
(B) 20
(C) 25
(D) 30
(E) 45



The number of days it would last is 30/(1.5) = 20 days.

Alternate Solution:

Suppose that the regular consumption is 2 gallons per day. Since the supply lasts for 30 days, the supply is 2 x 30 = 60 gallons. If the consumption is increased by 50%, then 2 x 1.5 = 3 gallons is used each day and this is enough for 60/3 = 20 days.

Answer: B
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Re: A supply of heating oil lasts for thirty days. If its use is increased   [#permalink] 14 Aug 2019, 20:13
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