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

 It is currently 17 Jan 2019, 01:13

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If it took Carlos 1/2 hour to cycle from his house to the

Author Message
VP
Joined: 22 Nov 2007
Posts: 1040
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

07 Mar 2008, 11:43
If it took Carlos ½ hour to cycle from his house to the library yesterday, was
the distance that he cycled greater than 6 miles? (1 mile = 5,280 feet)

(1) The average speed at which Carlos cycled from his house to the library
yesterday was greater than 16 feet per second.
(2) The average speed at which Carlos cycled from his house to the library
yesterday was less than 18 feet per second.
Director
Joined: 10 Sep 2007
Posts: 883
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

07 Mar 2008, 12:44
Statement 1:
Average Speed > 16 Ft./Sec or 16*60 Feet/Min or 16 * 60 * 60/2 Feet/Half Hour = 480 * 60 Feet/Half Hour
= 480 * 60 / 5280 Mile/Half Hour = 5.45 Miles per Half Hour
If average speed is just greater than that then Carlos may have covered 5.50 Miles but if average speed is much higher than this then he may have covered much more than 6 miles so insufficient.

Statement 2:
Average Speed < 18 Ft/Sec or 540 * 60 / 5280 Miles per Half Hour = 6.14 Miles per Half Hour
If average speed is just less than that then Carlos may have covered 6 Miles but if average speed is much lower than this then he may have covered much more less than 6 miles so insufficient.

Combining 1 & 2 is not going to provide any answer either as with 16 Ft/Sec and 18Ft/Sec, he can cover more or less than 6 miles to no definite answer. E
Senior Manager
Joined: 15 Aug 2007
Posts: 251
Schools: Chicago Booth
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

07 Mar 2008, 12:46
getting E.

Converting 6 miles/ 30 minutes into feet/second = 17.6 ft/second which doesn't fit individual or combined statements.
Senior Manager
Joined: 01 Jan 2008
Posts: 479
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

28 Mar 2008, 22:23
If it took Carlos more than 1/2 hour to cycle from home to office , was the distance he cycled greater than 6 miles ?
( 1 mile = 5280 feet)

1) The average speed at which he cycled from home to office was greater than 16 feet per second.
2) The average speed at which he cycled from home to office was less than 18 feet per second.

A. Statement 1 alone is sufficient
B. Statement 2 alone is sufficient
C. Both 1 and 2 are needed .
D.Either Statement alone is sufficient
E.Both Statement 1 & 2 are insufficient
Intern
Joined: 28 Mar 2008
Posts: 6
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

29 Mar 2008, 03:01
Average speed = a (feet/hour)
The distance = x (feet)
The question is : x> 6 miles = 5,280 x 6 = 31, 680 feet?

We have the equation: a * x = 1/2 <=> a = 2x (1)

1. a > 16 feet/second = 16 x 360 feet/hour = 5,760 feet/hour (2)
(1)&(2): 2x > 5,760 <=> x > 2,880

2. a < 18 feet/second = 6,480 feet/hour (3)
(1)&(3): 2x < 6,480 <=> x < 3,240

So the answer is E (both are insufficient)
Manager
Joined: 25 Mar 2008
Posts: 100
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

29 Mar 2008, 03:40
If it took Carlos more than 1/2 hour to cycle from home to office , was the distance he cycled greater than 6 miles ?
( 1 mile = 5280 feet)

1) The average speed at which he cycled from home to office was greater than 16 feet per second.
2) The average speed at which he cycled from home to office was less than 18 feet per second.

Ans is : E

1) he goes in 1 sec : 16 feet+
1 min : (16*60)+=960+
30 min: (960*30)+=28800+ it could be greater than six miles or not
2) 16>17<18: let the figure is 17

in the same way we cannot find a decisive result.

so my ans is :E

thanks i think it will help u thinking in simple way.

shobuj
Intern
Joined: 28 Mar 2008
Posts: 6
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

29 Mar 2008, 04:01
You're right. Sometimes, I find others have tendency to make an excercise more complicated. Now, so do I.

Intern
Joined: 30 Mar 2008
Posts: 12
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

30 Mar 2008, 00:20
morning,

If it took carlos half an hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (1 mile = 5.28 feet)

1- the average speed at which carlos cycled from his house to the library yesterday was greter than 16 feet per second

2- the average speed at which carlos cycled from his house to the library yesterday was less than 18 feet per second

Manager
Joined: 02 Mar 2008
Posts: 195
Concentration: Finance, Strategy
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

30 Mar 2008, 00:40
s>6 miles = 31680 ft, t=30min => v>1056 ft/min
(1) v>16ft/s=960ft/min
(2) v<18ft/s=1080 ft/min

as u can see v can be <1056 or >1056 from either 1 or 2 -> E
Intern
Joined: 30 Mar 2008
Posts: 12
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

30 Mar 2008, 01:39
thank you! i've made a mistake 1 mile is 5280 feet

AlbertNTN wrote:
s>6 miles = 31680 ft, t=30min => v>1056 ft/min
(1) v>16ft/s=960ft/min
(2) v<18ft/s=1080 ft/min

as u can see v can be <1056 or >1056 from either 1 or 2 -> E
Current Student
Joined: 28 Dec 2004
Posts: 3222
Location: New York City
Schools: Wharton'11 HBS'12
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

03 Feb 2009, 16:04
bmiller0731 wrote:
If it took Carlos a 1/2 hour to cycle from his house to the library yesterday, was the distance he cycled greater than 6 miles? (1ft = 5,280ft)

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 ft/s
2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 ft/s

D=R*T

1) 16*1800>5,280*6

D>4800 ft

insfff

2)

D<5,400 ft

together 4800<D<5,400

insuff E
Manager
Joined: 26 Jun 2007
Posts: 102
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

15 Apr 2009, 05:39
If it took Carlos 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (Note: 1 mile=5280 feet.

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

2) The average speed at which Carlos cycled from his house to the library yesterday was greater than 18 feet per second.

This Question was discussed at length; many solved it by converting units. Converting units under pressure (those are ugly numbers!!!) in test day is something I try to avoid. Does anyone can suggest a better approach to take in under 3 min?
Manager
Joined: 19 Oct 2008
Posts: 84
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

15 Apr 2009, 14:42
B

1) gives distance greater than (16*60*30)/5280= 5.45 NS could be greater than 6 or less than 6
2) gives distance greater than (18*60*30)/5280=6.14 S
Manager
Joined: 22 Feb 2009
Posts: 126
Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

17 Apr 2009, 09:41
1
GGUY wrote:
If it took Carlos 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (Note: 1 mile=5280 feet.

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

2) The average speed at which Carlos cycled from his house to the library yesterday was greater than 18 feet per second.

This Question was discussed at length; many solved it by converting units. Converting units under pressure (those are ugly numbers!!!) in test day is something I try to avoid. Does anyone can suggest a better approach to take in under 3 min?

For distance > 6 miles and time 1/2 hr the minimum speed needed is 5280*6/60*30 which is more than ~17. So either statement is not sufficient.
Therefore I think its E.
Manager
Joined: 02 Mar 2009
Posts: 115
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

27 Apr 2009, 00:59
The answer should be B. The calculations are not so ugly.

The question is asking, is the distance greater than 6 miles, ie, greater than 31,680feet (not a hard conversion)?

(1) He travelled at a speed greater than 16 feet/s. If he travelled at 16, he would have covered 28,800feet in 1800 seconds (you just need to multiply 16 with 18--again not too time consuming). Clearly this is insufficient.

(2) If he travelled at a speed greater than 18 feet/s, he would have travelled 32,400 miles--greater than 6 miles. Now any higher speed would surely correspond to a distance greater than 6 miles.

Hence B
Retired Moderator
Status: Darden Class of 2013
Joined: 28 Jul 2009
Posts: 1803
Schools: University of Virginia
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

26 Mar 2010, 14:40
I think the answer is (E).

Statement 1: Given this situation, Carlos could've pedaled at 16.5ft/sec, which would mark him under 6miles...OR Carlos could've pedaled at 30ft/sec and will definitely put him above 6 miles. So this is insufficient.

Statement 2: If Carlos pedaled at 17.9ft/sec, it would mean that the distance was longer than 6 miles. However, he could've been pedaling at 10ft/sec, which means the distance is shorter than 6 miles. Again, insufficient.

Taken both together, Carlos would've been pedaling between a rate of 16ft/sec and 18ft/sec, for which there are still numbers in between 16ft/sec and 18ft/sec that would make or break the 6 mile mark. Therefore, E.
_________________
Manager
Joined: 26 May 2005
Posts: 189
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

26 Mar 2010, 14:49
1
changhiskhan wrote:
If it took Carlos ½ hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (Note: 1 mile = 5,280 feet)

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
2) The average speed at which Carlos cycled from this house to the library yesterday was less than 18 feet per second.

options are in feet per sec.
so to get 6 miles in 1/2 hrs lets find out teh avg speed(x feet per sec)
x * 60 * 30 / 5280 = 6
x = 17.6 .. so avg speed has to be greater than 17.6 for the distance to be greater than 6 miles
st 1 ) not sufficient
st 2) not sufficient
combining also cannot tell
E
Manager
Joined: 01 Feb 2010
Posts: 233
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

27 Mar 2010, 08:24
1
changhiskhan wrote:
If it took Carlos ½ hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (Note: 1 mile = 5,280 feet)

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
2) The average speed at which Carlos cycled from this house to the library yesterday was less than 18 feet per second.

with speed 16ft /sec in 1/2 hr it travelled 28800 ft or 60/11 miles < 6 miles there can be values which satisfies both condition hence insufficient.
same for speed 18 ft/sec it is also insuffcient.
Both also insufficient, hence E.
Intern
Joined: 17 Jan 2010
Posts: 26
Schools: SSE, LSE
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

02 Apr 2010, 00:48
The answer is E in the original question at GMAT prep (Because Answer (2) says if the speed is LESS than 18 feet/second and NOT more.

How the question is stated here however B is correct.

I have a slightly different approach, which might be faster.
I took the question stem and calculated what the necessary speed would be to travel 6 miles in 1/2 hour.
6 miles x 5280 feet = 31680 feet
1/2 hour = 30 minutes x 60 seconds = 1800 seconds

Now I divided 31680 by 1800 which is 17,...

This means that answer (1) might or might not be greater than the necessary 17,...
Answer (2) might or might not be lower than 17,...
Manager
Joined: 20 Apr 2010
Posts: 79
Schools: UCI R1- admit w/ \$\$\$, Cornell R3, McCombs R2- admitted, Kelley R3 - admitted, USC R1-waitlist
Re: If it took Carlos 1/2 hour to cycle from his house to the  [#permalink]

### Show Tags

20 Apr 2010, 12:34
the answer has to be B
rephrasing the question you get;
"is the rate greater than 17.6ft/sec?"
clearly B is sufficient.

answer would be E if the condition in statement 2 would have been less than 18ft/sec.
Re: If it took Carlos 1/2 hour to cycle from his house to the &nbs [#permalink] 20 Apr 2010, 12:34

Go to page   Previous    1   2   3    Next  [ 41 posts ]

Display posts from previous: Sort by