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

It is currently 25 May 2020, 00:13

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

Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64070
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 07:41
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (02:55) correct 26% (03:48) wrong based on 34 sessions

HideShow timer Statistics

Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7


Are You Up For the Challenge: 700 Level Questions

_________________
Senior Manager
Senior Manager
User avatar
G
Status: Today a Reader; Tomorrow a Leader.
Joined: 14 Oct 2019
Posts: 403
Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 08:13
time taken by car 1
D=130 km
for 30 km speed =100 , time= 18 mins,
for next 50 km , speed=50 , time= 60 mins
for last 50 km time 120 mins
so total time=198 mins,
for car 2
1st 50 km, speed=100, time=30mins,
next 50 km , speed=50, time=60 minutes
so 90 minutes done
left time=108 minutes or 1.8 hrs
speed =25
Distance covered by car 2=25*1.8=45 km
so, distance left 50-45=5km

correct answer C
CEO
CEO
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3975
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 08:17
Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7


Time of Car 1 as well as Car 2 to reach B = (50/100) + (50/50) + (50/25) = 3.5 hours

Time for Car 1 to cover first 20 km = 20/100 = 12 minutes

i.e. we need to find where is Car 2 12 min before it reaches B

In last 12 minutes Car 2 travels distance = 25*(12/60) = 5 km

Answer: Option C
_________________
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 l Classroom Coaching l On-demand Quant course
Click Here for Uneditable GOOGLE reviews
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: Getting Reborn!!! From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 6266
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 08:42
for car 1 ; for the first 20 km it must have covered in 20/100 ; .2 hrs or say 12 mins
given the total time taken for both cars for 150 km distance = ( 50/100+ 50/50 + 50/25) ; 350/100 ; 3.5 hours
car 2 is lagging by 12 mins when car 1 reaches point B
so car 2 must be at a distance of 12*25/60 = 5 km
OPTION C


Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7


Are You Up For the Challenge: 700 Level Questions
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2889
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 09:08
Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7


Are You Up For the Challenge: 700 Level Questions



A----------50km @100kmph in 30mins---------------P-----------50km @50kmph in 1 hours------------Q-----------50km @25kmph in 2 hours----------B

Total time taken to reach B from A = 3 hours 30 mins

Time taken by car 1 to reach B = 18 mins + 1 hour + 2 hours = 3 hours 18 mins

Distance travelled by car 3 in last 12 mins = 12/60 * 25 = 5 km

IMO C
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Manager
Manager
avatar
B
Joined: 30 Jun 2019
Posts: 208
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

Show Tags

New post 07 Apr 2020, 16:16
When car 1 hits first milestone and slows to 50, car 2 is 20miles back
20=100t
t=1/5

car 1 goes 50*1/5 = 10 miles --> car 2 is now 10 miles back

When car 1 hits 2nd miltestone and slows to 25, car 2 is 10miles back
10=50t
t=1/5

25*1/5 = 5 --> car 2 is now only 5 miles back
GMAT Club Bot
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but   [#permalink] 07 Apr 2020, 16:16

Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne