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

It is currently 23 May 2019, 16:29

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

Tammy climbed a mountain in two days. She spent a total of 14 hours cl

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

Hide Tags

 
Retired Moderator
avatar
Joined: 29 Apr 2015
Posts: 837
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
GMAT ToolKit User
Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 28 Jul 2015, 11:18
1
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

67% (02:46) correct 33% (03:23) wrong based on 157 sessions

HideShow timer Statistics

Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.
Manager
Manager
User avatar
B
Joined: 14 Mar 2014
Posts: 147
GMAT 1: 710 Q50 V34
Reviews Badge
Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post Updated on: 29 Jul 2015, 00:43
3
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6



Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 3.5

now speed for 2nd day is 0.5 less than the 1st day which is 3.5
Thus speed for 2nd day = 4
_________________
I'm happy, if I make math for you slightly clearer
And yes, I like kudos
¯\_(ツ)_/¯ :-)

Originally posted by VenoMfTw on 28 Jul 2015, 12:37.
Last edited by VenoMfTw on 29 Jul 2015, 00:43, edited 1 time in total.
Current Student
avatar
Joined: 22 Apr 2015
Posts: 45
Location: United States
GMAT 1: 620 Q46 V27
GPA: 3.86
Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 28 Jul 2015, 16:57
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6



Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4


Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.
Veritas Prep GMAT Instructor
User avatar
D
Joined: 16 Oct 2010
Posts: 9234
Location: Pune, India
Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 28 Jul 2015, 21:36
xLUCAJx wrote:
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6



Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4


Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.


You have assumed that speed on day 1 was s. So speed on day 2 will be s + 0.5. The options give you the speed on day 2.
You found s = 3.5 - correct
Now all you need to do is find s + 0.5 which is 4.

Answer is 4 - (C)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Manager
Manager
User avatar
B
Joined: 14 Mar 2014
Posts: 147
GMAT 1: 710 Q50 V34
Reviews Badge
Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 29 Jul 2015, 00:45
xLUCAJx wrote:
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6



Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4


Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.



xLUCAJx

While typing i made a mistake.
Yes, it should be 3.5 not 4.5.
So, speed on second day is 3.5+0.5 = 4
_________________
I'm happy, if I make math for you slightly clearer
And yes, I like kudos
¯\_(ツ)_/¯ :-)
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 372
Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 09 Jan 2017, 15:22
Drawing a diagram is helpful when attempting this problem:

Day 1 --> d = r x 8
Day 2 --> 52-d = (r+ 0.5) x 6

You can figure out the time allocated to each day by solving the following formula that can be created from the prompt for t --> t+t+2 = 14 --> t = 6. Plug value into each day based on what we know from the information provided in the prompt and you should have the same equation(s) listed above in the table.

To solve --> plug day 1 into day 2 --> 52-8r = 6r+3 --> 49 = 14r --> r = 3.5

Day 2's rate is r +0.5 --> 3.5 + 0.5 = 4

C.
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1192
Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 09 Jan 2017, 20:06
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6


let r=T's rate on 2nd day
8(r-1/2)+6r=52
r=4 kph
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11007
Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

Show Tags

New post 17 Sep 2018, 05:23
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.
_________________
GMAT Club Bot
Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl   [#permalink] 17 Sep 2018, 05:23
Display posts from previous: Sort by

Tammy climbed a mountain in two days. She spent a total of 14 hours cl

  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®.