GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2018, 22:05

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

A basketball is dropped from a height of 20 feet. If it bounces back

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
Joined: 14 Jun 2012
Posts: 112
Concentration: International Business
GMAT 1: 560 Q36 V31
GMAT 2: 580 Q39 V31
GMAT 3: 630 Q41 V35
GPA: 4
Reviews Badge
A basketball is dropped from a height of 20 feet. If it bounces back  [#permalink]

Show Tags

New post 10 Jul 2016, 16:43
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:30) correct 23% (01:01) wrong based on 43 sessions

HideShow timer Statistics

A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.

A) 50
B) 55
C) 60
D) 75
E) 80


In my opinion the "right" answer is the distance for 4 bounces, not 3. The question asks for the distance after 3 full bounces.
what are 3 full bounces? 3 times down + 3 times up... whenever the ball has hit the ground 3 times not 4 times.

Can someone please explain the logic behind this?

Thank you.
Intern
Intern
avatar
Joined: 30 Jun 2016
Posts: 7
Re: A basketball is dropped from a height of 20 feet. If it bounces back  [#permalink]

Show Tags

New post 10 Jul 2016, 20:10
In my opinion, Full bounce starts from the time the ball hits ground to next time it hits ground again.
So 3 full bounces is calculated from the first time to the 4th time it hits ground (when it stops bouncing also)

The total distance that the ball travels will be = 20+2*20/2+2*20/4+2*20/8 = 55.
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 793
Concentration: Strategy, General Management
Premium Member
Re: A basketball is dropped from a height of 20 feet. If it bounces back  [#permalink]

Show Tags

New post 11 Jul 2016, 01:36
initial height = 20 feet
total bounces = 3 (after the initial 20 feet fall)
total distance covered 20+2(10+5+2.5)
(note that the ball has to cover the distance twice before the next bounce---something as
20 feet drop + (10 feet up +10 feet down) +(5 feet up +5 feet down) + (2.5 feet up + 2.5 feet down) )
=20+35=55 feet
Director
Director
User avatar
B
Joined: 04 Jun 2016
Posts: 569
GMAT 1: 750 Q49 V43
Re: A basketball is dropped from a height of 20 feet. If it bounces back  [#permalink]

Show Tags

New post 30 Jul 2016, 03:48
Silviax wrote:
A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.

In my opinion the "right" answer is the distance for 4 bounces, not 3. The question asks for the distance after 3 full bounces.
what are 3 full bounces? 3 times down + 3 times up... whenever the ball has hit the ground 3 times not 4 times.

Can someone please explain the logic behind this?

Thank you.

Answer choices:
A) 50
B) 55
C) 60
D) 75
E) 80


Initial distance = 20 feet
first bounce = 10 feet up + 10 feet down = 20 feet
second bouche = 5 feet up + 5 feet down = 10 feet
third bounce = 2.5 feet up and 2.5 feet down= 5 feet
total distance covered = 20+20+10+5 = 55
ANSWER IS B
_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 585
Premium Member
Re: A basketball is dropped from a height of 20 feet. If it bounces back  [#permalink]

Show Tags

New post 24 Sep 2018, 03:08
Silviax wrote:
A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.

In my opinion the "right" answer is the distance for 4 bounces, not 3. The question asks for the distance after 3 full bounces.
what are 3 full bounces? 3 times down + 3 times up... whenever the ball has hit the ground 3 times not 4 times.

Can someone please explain the logic behind this?

Thank you.

Answer choices:
A) 50
B) 55
C) 60
D) 75
E) 80

Ball drops from 20 feet - distance traveled 20 feet
first bounce :
rises up 10 feel and drops 10 feet - Distance traveled 20 feet
Second bounce :
Travels up 5 feet and drops 5 feet - Distance traveled 10 feet
Third Bounce . ( At the moment of the third bounce distance traveled is 20+20+10=50)
After the third bounce , balls goes up 2.5 feet and drops 2.5 feet
fourth bounce ( At the moment of the fourth bounce distance traveled is 20+20+10 +5=55)
Question could have simply asked what is the total distance traveled at the moment of fourth bounce.
_________________

- Stne

GMAT Club Bot
Re: A basketball is dropped from a height of 20 feet. If it bounces back &nbs [#permalink] 24 Sep 2018, 03:08
Display posts from previous: Sort by

A basketball is dropped from a height of 20 feet. If it bounces back

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.