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 1207:30 AM PST
-08:30 AM PST
Join the conversation to learn more about INSEAD vs LBS
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 16
08:00 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! - Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
19 Jun 2022, 00:45
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
38% (02:28) correct
62%
(02:41)
wrong
based on 47
sessions
History
Date
Time
Result
Not Attempted Yet
Shanti started her homework assignment between 3 O’clock and 4 O’clock. When she completed her assignment between 5 O’clock and 6 O’clock, she found the hour and the minute hands positions to be the same as those of the minute and the hour hands respectively, when she started the assignment. How long did she spend on the assignment?
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
19 Jun 2022, 06:23
Kudos
Bookmarks
Bunuel
Shanti started her homework assignment between 3 O’clock and 4 O’clock. When she completed her assignment between 5 O’clock and 6 O’clock, she found the hour and the minute hands positions to be the same as those of the minute and the hour hands respectively, when she started the assignment. How long did she spend on the assignment?
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
See attached
Note that the minute hand for 3 o'clock starts (360/12)*5= 150 degrees behind the hour hand for 5 o'clock and the minute hand for 5 o'clock starts (360/12)*3 = 90 degrees behind the hour hand for 3 o'clock.
Posted from my mobile device
Attachments
20220619_091542.jpg [ 4.02 MiB | Viewed 2800 times ]
19 Jun 2022, 21:11
Kudos
Bookmarks
Bunuel
Shanti started her homework assignment between 3 O’clock and 4 O’clock. When she completed her assignment between 5 O’clock and 6 O’clock, she found the hour and the minute hands positions to be the same as those of the minute and the hour hands respectively, when she started the assignment. How long did she spend on the assignment?
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 112 7/12 minutes
(B) 110 10/13 minutes
(C) 108 19/13 minutes
(D) 108 7/12 minutes
(E) 106 7/12 minutes
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
Fun problem, but I don't think GMAC would ask anything like this with answer choices this tightly distributed. I can imagine something like this that's more readily ballparkable.
Anyway, here's how I'd get there.
We know that one hand is between the 3 and the 4 and the other hand is between the 5 and the 6. Our start time is therefore between 3:25 and 3:30. And our end time is between 5:15 and 5:20. Let's see if we can use some logic.
At the start time, we need the minute hand to be between the 5 and the 6. That's 42-50% of the way to the next hour, so that means the hour hand is also going to be 42-50% of the way to the next hour. Let's call it 45%. When the minute hand is 45% of the way from the 3 to the 4, it is 17.25 minutes past the hour (15 minutes plus 45% of 5). So, the end time was something like 5:17:15.
At the end time, we need the minute hand to be between the 3 and the 4. That's 25-33% of the way to the next hour, so that means the hour hand is also going to be 25-33% of the way to the next hour. Let's call it 30%. When the minute hand is 30% of the way from the 5 to the 6, it is 26.5 minutes past the hour (25 minutes plus 30% of 5). So, the start time was something like 3:26:30.
From 3:26:30 to 5:17:15 is 1:10:45.
Answer choice B.
