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

It is currently 15 Oct 2019, 06:49

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

Had Frank driven at an averagespeed of 40 miles per hour, he would hav

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
User avatar
V
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
CAT Tests
Had Frank driven at an averagespeed of 40 miles per hour, he would hav  [#permalink]

Show Tags

New post 10 Mar 2019, 10:20
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (01:18) correct 36% (01:38) wrong based on 55 sessions

HideShow timer Statistics

Had Frank driven at an averagespeed of 40 miles per hour, he would have reached his office 10 minutes earlier than he usually did. At what average speed should Frank drive to reach his office 20 minutes earlier than he usually did?

(1) Frank usually takes 5/6 hours to reach his office

(2) The distance to his office is 80/3 miles
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1024
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Re: Had Frank driven at an averagespeed of 40 miles per hour, he would hav  [#permalink]

Show Tags

New post 10 Mar 2019, 10:42
2
From question. 40(t-10) = d and d = x(t-20)

From statement 1:

Time taken is 56*60 min. Enough to find d from 1st equation and eventually find the time required.
Hence Sufficient.

From statement 2:

d = 803 miles.
Again, time taken can be calculated from 1st equation. Hence we can find the speed.
Sufficient.

D is the answer.
_________________
Press +1 Kudos If my post helps!
Director
Director
avatar
V
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: Had Frank driven at an averagespeed of 40 miles per hour, he would hav  [#permalink]

Show Tags

New post 30 Mar 2019, 06:46
1
mangamma wrote:
Had Frank driven at an averagespeed of 40 miles per hour, he would have reached his office 10 minutes earlier than he usually did. At what average speed should Frank drive to reach his office 20 minutes earlier than he usually did?

(1) Frank usually takes 56 hours to reach his office

(2) The distance to his office is 803 miles

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D)EACH statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.


Typo error in statments....
1. 5/6 not 56
2. 80/3 not 803
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58332
Re: Had Frank driven at an averagespeed of 40 miles per hour, he would hav  [#permalink]

Show Tags

New post 30 Mar 2019, 06:48
kiran120680 wrote:
mangamma wrote:
Had Frank driven at an averagespeed of 40 miles per hour, he would have reached his office 10 minutes earlier than he usually did. At what average speed should Frank drive to reach his office 20 minutes earlier than he usually did?

(1) Frank usually takes 56 hours to reach his office

(2) The distance to his office is 803 miles

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D)EACH statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.


Typo error in statments....
1. 5/6 not 56
2. 80/3 not 803

__________________
Edited. Thank you.
_________________
Senior Manager
Senior Manager
User avatar
P
Joined: 13 Jan 2018
Posts: 342
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: Had Frank driven at an averagespeed of 40 miles per hour, he would hav  [#permalink]

Show Tags

New post 31 Mar 2019, 07:39
\(S_{initial}\) = x miles per hour ; \(t_{initial}\) = y mins ; Distance = d miles
\(S_1\) = 40 miles per hour ; \(t_1\) = y - 10 mins ; Distance = d miles
\(S_2\) = \(S_2\) miles per hour ; \(t_2\) = y - 20 mins ; Distance = d miles

We have to find \(S_2\)

\(\frac{40}{S_2}\) =\(\frac{y - 20}{y - 10}\) ..................(1)

Statement 1) \(t_{initial}\) = y mins = \(\frac{5}{6}*60\) = 50 mins

Substituting "y" in eq (1), we can find \(S_2\). SUFFICIENT.

Statement 2) Distance = d miles = \(\frac{80}{3}\) miles

calculating the time taken by traveling at 40 miles per hour

40 = \(\frac{80}{3(y - 10)}\)

We will get y value and then we can substitute in eq (1) to get \(S_2\). SUFFICIENT.

OPTION: D
_________________
____________________________
Regards,

Chaitanya


+1 Kudos

if you like my explanation!!!
GMAT Club Bot
Re: Had Frank driven at an averagespeed of 40 miles per hour, he would hav   [#permalink] 31 Mar 2019, 07:39
Display posts from previous: Sort by

Had Frank driven at an averagespeed of 40 miles per hour, he would hav

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





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