GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 30 Mar 2020, 15:20

### 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

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

# A man, while driving on a highway at uniform speed, observes his car’s

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 62353
A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

06 Jul 2017, 01:36
1
6
00:00

Difficulty:

95% (hard)

Question Stats:

46% (02:30) correct 54% (02:03) wrong based on 180 sessions

### HideShow timer Statistics

A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).

(2) After 2 hours, the man found that he had travelled less than 80 miles.

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3406
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

06 Jul 2017, 01:57
2
Bunuel wrote:
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).

(2) After 2 hours, the man found that he had travelled less than 80 miles.

$$Speed = \frac{Distance}{Time}$$

Question: Speed of car = ?

Statement 1:After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward)
i.e. the odometer after 5 hours could be 19091 or 19191 or 19291 etc
Different distance possible in 5 hours leading to different speeds hence
NOT SUFFICIENT

Statement 2:After 2 hours, the man found that he had travelled less than 80 miles.
less than 80 miles will lead to multiple distances (79 or 78 or 78 miles etc) travelled in 2 hours hence
NOT SUFFICIENT

Combining the two statements

If odometer reading changes from 18992 to 19091
then total distance travelled = 19091 - 18992 = 99 miles
i.e. speed = 99/5 = 19.8 miles/hours i.e. 39.6 miles in 2 hours

If odometer reading changes from 18992 to 19191
then total distance travelled = 19091 - 18992 = 199 miles
i.e. speed = 99/5 = 39.8 miles/hours i.e. 79.6 miles in 2 hours

i.e. different speeds ate acceptable even now hence

SUFFICIENT

_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi

My Recent Posted Questions
Q-1-Integer-Divisibility l Q-2-Inequality DS l Q-3-Standard Deviation l Q-4-Inequality

ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Senior Manager
Joined: 21 Mar 2016
Posts: 493
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

06 Jul 2017, 09:34
GMATinsight wrote:
Bunuel wrote:
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).

(2) After 2 hours, the man found that he had travelled less than 80 miles.

$$Speed = \frac{Distance}{Time}$$

Question: Speed of car = ?

Statement 1:After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward)
i.e. the odometer after 5 hours could be 19091 or 19191 or 19291 etc
Different distance possible in 5 hours leading to different speeds hence
NOT SUFFICIENT

Statement 2:After 2 hours, the man found that he had travelled less than 80 miles.
less than 80 miles will lead to multiple distances (79 or 78 or 78 miles etc) travelled in 2 hours hence
NOT SUFFICIENT

Combining the two statements

If odometer reading changes from 18992 to 19091
then total distance travelled = 19091 - 18992 = 99 miles
i.e. speed = 99/5 = 19.8 miles/hours i.e. 39.6 miles in 2 hours

If odometer reading changes from 18992 to 19191
then total distance travelled = 19091 - 18992 = 199 miles
i.e. speed = 99/5 = 39.8 miles/hours i.e. 79.6 miles in 2 hours

i.e. different speeds ate acceptable even now hence

SUFFICIENT

GMATinsight the answer shud be E..
Manager
Joined: 23 May 2017
Posts: 226
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

06 Jul 2017, 09:51
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).

(2) After 2 hours, the man found that he had travelled less than 80 miles.

Clearly statement 1 & 2 are not sufficient individually.

from statement 2 we know that the maximum distance the man can cover must be less than 200 miles in 5 hours

Maximum reading on odometer = 18992 + 200 miles = 19292 miles
we know the minimum reading is 18992 and maximum 19292

from statement [2] we know that the reading after 5 hours is a palindromic one so we can have
19091 or 19191 or 19291

three possible values - hence E
Manager
Joined: 11 Apr 2018
Posts: 123
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

24 Jun 2018, 22:56
1
Leo8 wrote:
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).

(2) After 2 hours, the man found that he had travelled less than 80 miles.

Clearly statement 1 & 2 are not sufficient individually.

from statement 2 we know that the maximum distance the man can cover must be less than 200 miles in 5 hours

Maximum reading on odometer = 18992 + 200 miles = 19292 miles
we know the minimum reading is 18992 and maximum 19292

from statement [2] we know that the reading after 5 hours is a palindromic one so we can have
19091 or 19191 or 19291

three possible values - hence E

Hi,

Your approach is right but there is a small calculation mistake.
Maximum reading on odometer = 18992 + 200 miles = 19292 miles
It should be 19192.
So, possible palindromes are 19091 and 19191.

Thanks.
Math Expert
Joined: 02 Aug 2009
Posts: 8296
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

25 Jun 2018, 02:13
1
A man, while driving on a highway at uniform speed, observes his car’s odometer reading just turned to 18992 miles. What is the speed at which the man was driving?

(1) After 5 hours, the odometer reading of the car showed a five-digit palindrome as the total distance travelled (A palindrome is a number which reads the same forward as well as backward).
No upper limit , it can be anything....
19091, 22222

Insufficient

(2) After 2 hours, the man found that he had travelled less than 80 miles.
Just tells us that the speed is less than 40mph
So insufficient

Combined
Speed<40mph, so could have travelled <200 in 5 hours..
Or <18992+200=19192...
Palindromes between 18992 and 19192 are 19091 and 19191
Insufficient

E
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 14449
Re: A man, while driving on a highway at uniform speed, observes his car’s  [#permalink]

### Show Tags

30 Jun 2019, 22:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A man, while driving on a highway at uniform speed, observes his car’s   [#permalink] 30 Jun 2019, 22:01
Display posts from previous: Sort by