It is currently 19 Nov 2017, 07:27

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles

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

Hide Tags

Manager
Manager
User avatar
Status: 2 months to go
Joined: 11 Oct 2015
Posts: 135

Kudos [?]: 158 [0], given: 36

GMAT 1: 730 Q49 V40
GPA: 3.8
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 23 May 2016, 12:20
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:47) correct 37% (02:01) wrong based on 94 sessions

HideShow timer Statistics

Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete the Marathon?

(A)  3
(B)  3.5
(C)  4
(D)  4.5
(E)  5

Source: Nova's GMAT Math Prep
[Reveal] Spoiler: OA

Kudos [?]: 158 [0], given: 36

2 KUDOS received
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3097

Kudos [?]: 1114 [2], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 23 May 2016, 12:56
2
This post received
KUDOS
DensetsuNo wrote:
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete the Marathon?

(A)  3
(B)  3.5
(C)  4
(D)  4.5
(E)  5

Source: Nova's GMAT Math Prep


Attachment:
Capture.PNG
Capture.PNG [ 2.78 KiB | Viewed 1143 times ]


\(\frac{10T}{3}\) + \(\frac{10T}{3}\) = \(30\)

So, \(\frac{20T}{3}\) = \(30\)

Or, T = 4.5

Hence correct answer will be (D)
:-D


PS :
DensetsuNo Nova's GMAT Math Prep is a very good source for quants prep ; keep solving and posing more questions...
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1114 [2], given: 327

Manager
Manager
User avatar
Status: 2 months to go
Joined: 11 Oct 2015
Posts: 135

Kudos [?]: 158 [0], given: 36

GMAT 1: 730 Q49 V40
GPA: 3.8
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 24 May 2016, 00:14
Abhishek009 I seldom use Nova's prep, but when I do I'll make sure to post some problems :)

As for my solution:

We are given the time and the speed at which Fritz runs so we can simply use the \(Distance = Rate*Time\) formula to find the solution,

\(D1= \frac{1}{3}t * 10mph\) \(D2= \frac{2}{3}t * 5mph\), \(D1= \frac{10}{3}t\), \(D2= \frac{10}{3}t\),

and since we also know the distance (30 miles) we can simply calculate

\(30 = \frac{10}{3}t + \frac{10}{3}t\) \(= \frac{20}{3}t\) -> \(\frac{20}{3}t = 30\) -> \(t = \frac{90}{20}\)

-> \(t = 4,5h\)

D)

Kudos [?]: 158 [0], given: 36

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 903

Kudos [?]: 433 [0], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 24 May 2016, 06:26
DensetsuNo wrote:
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete the Marathon?

(A)  3
(B)  3.5
(C)  4
(D)  4.5
(E)  5

Source: Nova's GMAT Math Prep


Let total time= t
F travelled at rate 10mph for t/3 time and 5mph for 2t/3 time

d= s1t1+s2t2
30= 10*t/3 + 5*2t/3
30= 20t/3
t= 4.5

D is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 433 [0], given: 69

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 836

Kudos [?]: 265 [0], given: 15

Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 06 Jun 2016, 19:21
let t=fritz's total time
because his distance for each leg is 10t/3 miles,
we know that each leg=30/2=15 miles
t=(15m/10mph)+(15m/5mph)=4.5 hours

Kudos [?]: 265 [0], given: 15

1 KUDOS received
Manager
Manager
User avatar
G
Joined: 30 May 2012
Posts: 220

Kudos [?]: 82 [1], given: 151

Location: United States (TX)
Concentration: Finance, Marketing
GPA: 3.3
WE: Information Technology (Consulting)
Premium Member
Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles [#permalink]

Show Tags

New post 27 Sep 2017, 10:50
1
This post received
KUDOS
This is a silly question. Why even bother with Mike's stats when they are absolutely worthless in solving this problem?

Given,

Total distance = 30

Assume 'x' to be the total time taken by Fritz to complete the marathon.

For the first \(\frac{1x}{3}\), the speed is 10. Therefore, the distance (distance= speed x time) traveled in that time is, d1 = \(\frac{10x}{3}\)

For the remaining time \(\frac{2x}{3}\), the speed is 5. Therefore, the distance (distance= speed x time) traveled in that time is, d2 = \(\frac{10x}{3}\)

The above two distances d1 and d2 sum up to be the total distance of 30

d1+d2 = 30

\(\frac{10x}{3}\) + \(\frac{10x}{3}\) = 30

Solving, x = 4.5

Kudos [?]: 82 [1], given: 151

Re: Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles   [#permalink] 27 Sep 2017, 10:50
Display posts from previous: Sort by

Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.