February 20, 2019 February 20, 2019 08:00 PM EST 09:00 PM EST Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST February 21, 2019 February 21, 2019 10:00 PM PST 11:00 PM PST Kick off your 2019 GMAT prep with a free 7day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 01 Sep 2012
Posts: 117

A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
02 Nov 2012, 07:33
Question Stats:
85% (01:58) correct 15% (02:26) wrong based on 267 sessions
HideShow timer Statistics
A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time? A. \(2\frac{1}{10}\) B. \(2\frac{2}{5}\) C. \(2\frac{1}{2}\) D. \(2\frac{7}{8}\) E. 3 I am not sure how to approach this one. my intuition says either B or C. please help. thank you
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
If my answer helped, dont forget KUDOS!
IMPOSSIBLE IS NOTHING




Math Expert
Joined: 02 Sep 2009
Posts: 52971

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
02 Nov 2012, 08:01




VP
Joined: 02 Jul 2012
Posts: 1165
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
Updated on: 02 Nov 2012, 20:24
My method was : Car is travelling at a speed of 2/5 miles per 2 mins faster than the bus i.e 12 mph faster than the buse = 72 mph So in 2 mins = 72 * 2/60 = 2.4 Answer is B. Kudos Please... If my post helped.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.
Thanks To The Almighty  My GMAT Debrief
GMAT Reading Comprehension: 7 Most Common Passage Types
Originally posted by MacFauz on 02 Nov 2012, 08:21.
Last edited by MacFauz on 02 Nov 2012, 20:24, edited 1 time in total.



Manager
Joined: 01 Sep 2012
Posts: 117

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
02 Nov 2012, 08:53
Bunuel wrote: roygush wrote: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
A. \(2\frac{1}{10}\)
B. \(2\frac{2}{5}\)
C. \(2\frac{1}{2}\)
D. \(2\frac{7}{8}\)
E. 3
I am not sure how to approach this one. my intuition says either B or C. please help. thank you Car traveled the distance that the bus covered in 1/30 hours (2 minutes) plus 2/5 miles, thus \(60*\frac{1}{30}+\frac{2}{5}=2\frac{2}{5}\) miles. Answer: B. Hope it's clear. P.S. Please indicate OA for PS problems (rule #7 here: rulesforpostingpleasereadthisbeforeposting133935.html). Thank you. Kudos and thank you both for your help, it is clear. i knew it was easy... Bunuel, ive been going through your posts. can you please create a post with Word Problems? like tips and tricks for Work/Rate/Ratio/Precents?
_________________
If my answer helped, dont forget KUDOS!
IMPOSSIBLE IS NOTHING



Math Expert
Joined: 02 Sep 2009
Posts: 52971

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
02 Nov 2012, 08:57
roygush wrote: Bunuel wrote: roygush wrote: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
A. \(2\frac{1}{10}\)
B. \(2\frac{2}{5}\)
C. \(2\frac{1}{2}\)
D. \(2\frac{7}{8}\)
E. 3
I am not sure how to approach this one. my intuition says either B or C. please help. thank you Car traveled the distance that the bus covered in 1/30 hours (2 minutes) plus 2/5 miles, thus \(60*\frac{1}{30}+\frac{2}{5}=2\frac{2}{5}\) miles. Answer: B. Hope it's clear. P.S. Please indicate OA for PS problems (rule #7 here: rulesforpostingpleasereadthisbeforeposting133935.html). Thank you. Kudos and thank you both for your help, it is clear. i knew it was easy... Bunuel, ive been going through your posts. can you please create a post with Word Problems? like tips and tricks for Work/Rate/Ratio/Precents? Check for theory here: gmatmathbook87417.htmlFor practice: viewforumtags.phpHope it helps.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 25 Jun 2012
Posts: 63

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
02 Nov 2012, 12:19
MacFauz wrote: My method was :
Car is travelling at a speed of 2/5 miles per 2 mins faster than the bus i.e 12 mph faster than the buse = 72 mph
So in 2 mins = 72 * 2/30 = 2.4
Answer is B.
Kudos Please... If my post helped. Please explain your calculations...to say it rightly  formula where did you get 12 mph and 72 mph and why did you divide it into 2/30?



VP
Joined: 02 Jul 2012
Posts: 1165
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
02 Nov 2012, 20:31
actleader wrote: MacFauz wrote: My method was :
Car is travelling at a speed of 2/5 miles per 2 mins faster than the bus i.e 12 mph faster than the buse = 72 mph
So in 2 mins = 72 * 2/30 = 2.4
Answer is B.
Kudos Please... If my post helped. Please explain your calculations...to say it rightly  formula where did you get 12 mph and 72 mph and why did you divide it into 2/30? Thanks for pointing it out. It was a typo.. Was thinkin 2/60(Conversion from minutes to hours since speed is in mph) equals 1/30 and typed in 2/30. I've changed that now. As for the remaining calculations. The car catches up the distance of 2/5 of a mile with the bus in 2 minutes. So the car must be travelling at a speed of 2/5 miles per 2 mins faster than the bus. 2/5 miles per 2 minutes is (2/5)*(60/2) mph. = 12 mph. Since this is the speed that the car is travelling at in excess to the speed of the bus, to get the speed of the car, we have to add this to the speed of the bus. 60 + 12 = 72 Kudos Please... If my post helped.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.
Thanks To The Almighty  My GMAT Debrief
GMAT Reading Comprehension: 7 Most Common Passage Types



Manager
Joined: 25 Jun 2012
Posts: 63

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
03 Nov 2012, 06:37
MacFauz wrote: actleader wrote: MacFauz wrote: My method was :
Car is travelling at a speed of 2/5 miles per 2 mins faster than the bus i.e 12 mph faster than the buse = 72 mph
So in 2 mins = 72 * 2/30 = 2.4
Answer is B.
Kudos Please... If my post helped. Thanks for pointing it out. It was a typo.. Was thinkin 2/60(Conversion from minutes to hours since speed is in mph) equals 1/30 and typed in 2/30. I've changed that now. As for the remaining calculations. The car catches up the distance of 2/5 of a mile with the bus in 2 minutes. So the car must be travelling at a speed of 2/5 miles per 2 mins faster than the bus. 2/5 miles per 2 minutes is (2/5)*(60/2) mph. = 12 mph. Since this is the speed that the car is travelling at in excess to the speed of the bus, to get the speed of the car, we have to add this to the speed of the bus. 60 + 12 = 72 Kudos Please... If my post helped. Now I see what (2/5)*(60/2) mph. = 12 mph means and where you got it. It is a [2][/5]/[2][/60] that represented the increasing in speed.



Senior Manager
Joined: 23 Oct 2010
Posts: 348
Location: Azerbaijan
Concentration: Finance

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
04 Nov 2012, 04:14
(S60)*(2/60)=2/5 s=72 m/h 72*(2/60)=2 2/5 miles
_________________
Happy are those who dream dreams and are ready to pay the price to make them come true
I am still on all gmat forums. msg me if you want to ask me smth



Senior Manager
Joined: 13 Aug 2012
Posts: 420
Concentration: Marketing, Finance
GPA: 3.23

Re: A car starts 2/5 of a mile behind a bus
[#permalink]
Show Tags
14 Nov 2012, 02:50
In order for a car to catch up to the bus, it must travel the gap plus the additional distance travelled by the bus in two minutes. \(\frac{60miles}{hour}x\frac{1 hour}{60minutes}x 2minutes=2miles\) \(d=gap + d of bus\) \(d=\frac{2}{5}miles + 2 miles = 2\frac{2}{5}miles\)
_________________
Impossible is nothing to God.



Director
Joined: 03 Aug 2012
Posts: 711
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
28 Sep 2013, 01:51
Let 'x' be the speed of the CAR in miles/hour
Distance covered in catching the bus/ Relative speed of the car = Time taken (2 min)
2/(5* (x60) = 2/60 [Since it is relative speed => x60]
x=72 miles/hour
Distance traveled by car = Speed(x) * time(2 min)
Hence (B)



Intern
Joined: 30 Apr 2010
Posts: 20

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
21 Oct 2013, 09:48
The bus travels at 60mph = 1 mile per minute so in 2 minutes the bus has traveled 2 miles. If the car has caught up with the bus in 2 minutes, then it has driven 2 2/5 miles since it started 2/5 miles behind the bus.
Answer: B



Manager
Joined: 26 Sep 2013
Posts: 192
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41 GMAT 2: 730 Q49 V41

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
21 Nov 2013, 10:20
I looked at it as a relative speed problem; both going 60 mph the car would never catch up. But in 2 minutes it traveled an extra 2/5 of a mile, so the speed it used to cover that extra 2/5 would be 30(since 30*2=60)*2/5=60/5=12mph extra, add that to the 60mph of the bus and you get 72 mph, divide by 1/30 of an hour, and you get 2.4



Senior SC Moderator
Joined: 22 May 2016
Posts: 2479

A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
14 May 2018, 18:29
roygush wrote: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
A. \(2\frac{1}{10}\)
B. \(2\frac{2}{5}\)
C. \(2\frac{1}{2}\)
D. \(2\frac{7}{8}\)
E. 3
Gap closes at what speed?Find the "relative speed" at which the gap closes Divide gap distance by time Distance = \(\frac{2}{5}\) mile Time = 2 minutes = \(\frac{1}{30}\) hour Rate (speed) at which gap closes,: \(r=\frac{D}{t}\) Relative speed: \(r=\frac{(\frac{2}{5})}{(\frac{1}{30})}=(\frac{2}{5}*\frac{30}{1})=12\) mph In this "chase," the gap closes at a relative speed of 12 mph Car's rate?(Car rate  bus rate) = relative speed (Car rate  60 mph) = 12 mph Car rate = 72 mph Distance the car travels in 2 minutes?Time: 2 minutes = \(\frac{1}{30}\) hour Rate: 72 mph Distance traveled: \(r*t=D\): \((72*\frac{1}{30})=\frac{72}{30}=\frac{12}{5}=2\frac{2}{5}\) miles Answer B
_________________
To live is the rarest thing in the world. Most people just exist. —Oscar Wilde



Intern
Joined: 05 Aug 2016
Posts: 15
Location: United States
Concentration: General Management

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
14 May 2018, 20:53
Bus travels 60mph so the bus travels 1mi per minute. Assume bus starts at mile #1 and the car is 2/5 mi behind so 1(2/5)  3/5mi (starting point). In 2 minutes, the bus traveled 2mi from mile #1 to mile #3. To calculate the time for the car to catch up to the bus (which is at mile #3), 3(3/5) = 12/5 minutes. Answer Choice B.



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2827

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
15 May 2018, 15:08
roygush wrote: A car starts 2/5 of a mile behind a bus that is traveling at 60 miles per hour. If the car catches up to the bus after 2 minutes, how many miles does the car travel in that time?
A. \(2\frac{1}{10}\)
B. \(2\frac{2}{5}\)
C. \(2\frac{1}{2}\)
D. \(2\frac{7}{8}\)
E. 3 In the 2minute time period, we note that both the car and the bus have traveled for 2/60 of an hour. We can let r = the rate of the car and create the equation: r(2/60) = 60(2/60) + 2/5 r/30 = 2 + 2/5 Multiplying by 30, we have: r = 60 + 12 r = 72 So in 2 minutes the car traveled 72 x 2/60 = 72/30 = 12/5 = 2 2/5 miles. Answer: B
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 16 May 2017
Posts: 51
GPA: 3.8
WE: Medicine and Health (Health Care)

Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
Show Tags
02 Oct 2018, 23:59
Travelling rate of bus=60/60= 1 mile/min So, in 2 min it will travel=2 miles
As car has to catch bus, it has to travel= 2+(2/5)= 12/5 miles
(B)




Re: A car starts 2/5 of a mile behind a bus that is traveling at
[#permalink]
02 Oct 2018, 23:59






