GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A supply of sugar lasts for 30 days. If its use is increased by 50 per
[#permalink]
08 Dec 2021, 10:01
08 Dec 2021, 10:01
Expert Reply
3
Bookmarks
00:00
Question Stats:
50% (01:09) correct
50% (01:11) wrong based on 20 sessions
Hide Show timer Statistics
A supply of sugar lasts for 30 days. If its use is increased by 50 percent, how many days would the same amount of sugar last?
A) 15
B) 20
C) 25
D) 30
E) 45
A) 15
B) 20
C) 25
D) 30
E) 45
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A supply of sugar lasts for 30 days. If its use is increased by 50 per
[#permalink]
08 Dec 2021, 11:09
08 Dec 2021, 11:09
1
Carcass wrote:
A supply of sugar lasts for 30 days. If its use is increased by 50 percent, how many days would the same amount of sugar last?
A) 15
B) 20
C) 25
D) 30
E) 45
A) 15
B) 20
C) 25
D) 30
E) 45
A supply of sugar lasts for 30 days.
To make our calculations easier (and avoid using variables), we can assign a "nice" value to the starting supply of sugar.
Let's say we begin with 30 cups of sugar.
If 30 cups of sugar lasts for 30 days, then we must be using 1 cup sugar per day.
If its use is increased by 50 percent, how many days would the same amount of sugar last?
If we increase sugar usage by 50%, then the usage of sugar increases from 1 cup sugar per day to 1.5 cups sugar per day
Time = output/rate
So, time to use all 30 cups of sugar at a rate of 1.5 cups sugar per day = 30/1.5 = 20 days
Answer: B
Re: A supply of sugar lasts for 30 days. If its use is increased by 50 per
[#permalink]
08 Dec 2021, 23:26
08 Dec 2021, 23:26
1
Consumption must be inversely related to the no. of days sugar lasts
So if use of sugar increases by 50% or by 1/2, time it lasts must reduce by 1/3 or 33.33%,
so time it will last = 30(1-(1/3)) = 30 * (2/3) = 20 days
So if use of sugar increases by 50% or by 1/2, time it lasts must reduce by 1/3 or 33.33%,
so time it will last = 30(1-(1/3)) = 30 * (2/3) = 20 days
