Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT 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.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
01 Jun 2022, 01:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
44% (02:15) correct
56%
(01:40)
wrong
based on 86
sessions
History
Date
Time
Result
Not Attempted Yet
Mia is "helping" her mom pick up 30 toys that are strewn on the floor. Mia’s mom manages to put 3 toys into the toy box every 30 seconds, but each time immediately after those 30 seconds have elapsed, Mia takes 2 toys out of the box. How much time, in minutes, will it take Mia and her mom to put all 30 toys into the box for the first time?
(A) 13.5
(B) 14
(C) 14.5
(D) 15
(E) 15.5
Are You Up For the Challenge: 700 Level Questions
(A) 13.5
(B) 14
(C) 14.5
(D) 15
(E) 15.5
Are You Up For the Challenge: 700 Level Questions
01 Jun 2022, 02:01
Kudos
Bookmarks
Mia takes 2 toys out of the box immediately after 30 seconds in which Mia's mom puts 3 toys into the toybox.
at 30 seconds: 3 in toy box
Immediately after 30 seconds: 1 in toybox.
at 60 seconds: 4 in toy box
Immediately after 30 seconds: 2 in toybox.
...
at 30*n seconds (n=1,2,3...): 3+n-1 in toybox.
Now solve 3+n-1=30
n+2=30
n=28
So, it will take 14 minutes to put all 30 toys into the box for the first time.
The answer is (B).
It is a tricky question. I got it wrong the first time.
at 30 seconds: 3 in toy box
Immediately after 30 seconds: 1 in toybox.
at 60 seconds: 4 in toy box
Immediately after 30 seconds: 2 in toybox.
...
at 30*n seconds (n=1,2,3...): 3+n-1 in toybox.
Now solve 3+n-1=30
n+2=30
n=28
So, it will take 14 minutes to put all 30 toys into the box for the first time.
The answer is (B).
It is a tricky question. I got it wrong the first time.
General Discussion
01 Jun 2022, 02:20
Kudos
Bookmarks
We know that every 30 seconds Mia's mom puts 3 toys into the box, and immediately after that Mia takes 2 out. So every 30 seconds there is a growth of 1 more toy in the box.
As there are 30 toys we know that once the total number of toys in the box reaches 27, 30 seconds later the box will have all 30 toys.
Dividing 27 by 2 gives us the amount of minutes it will take to get to get to 27 toys as 30 seconds is half a minute: \(27÷2 = 13.5\)
It will take 13.5 minutes for there to be 27 toys in the box, and 30 seconds later there will be 30 toys in the box so in total it will take 14 minutes.
Answer B
As there are 30 toys we know that once the total number of toys in the box reaches 27, 30 seconds later the box will have all 30 toys.
Dividing 27 by 2 gives us the amount of minutes it will take to get to get to 27 toys as 30 seconds is half a minute: \(27÷2 = 13.5\)
It will take 13.5 minutes for there to be 27 toys in the box, and 30 seconds later there will be 30 toys in the box so in total it will take 14 minutes.
Answer B
