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

 It is currently 16 Nov 2018, 14:27

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 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.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# Car A drives from P to Q at a constant rate of 100 km per hour. Afte

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6517
GMAT 1: 760 Q51 V42
GPA: 3.82
Car A drives from P to Q at a constant rate of 100 km per hour. Afte  [#permalink]

### Show Tags

04 Apr 2018, 01:55
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:42) correct 23% (02:27) wrong based on 82 sessions

### HideShow timer Statistics

[GMAT math practice question]

Car A drives from P to Q at a constant rate of 100 km per hour. After car A has driven for 1 hour, train B begins traveling from Q to P at a constant rate of 150 km per hour. If the distance between P and Q is 600 km, then what distance has car A traveled when it meets train B?

A. 200 km
B. 220 km
C. 250 km
D. 270 km
E. 300 km

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 05 Feb 2016 Posts: 144 Location: India Concentration: General Management, Marketing WE: Information Technology (Computer Software) Re: Car A drives from P to Q at a constant rate of 100 km per hour. Afte [#permalink] ### Show Tags 04 Apr 2018, 02:19 MathRevolution wrote: [GMAT math practice question] Car A drives from P to Q at a constant rate of 100 km per hour. After car A has driven for 1 hour, train B begins traveling from Q to P at a constant rate of 150 km per hour. If the distance between P and Q is 600 km, then what distance has car A traveled when it meets train B? A. 200 km B. 220 km C. 250 km D. 270 km E. 300 km A speed-100 km per hour In one hour Car a travels 100km. Distance left 500km. Time at which both train and car meets=500/(100+150)=2 distance traveled by train= 2*150 =300. E Senior SC Moderator Joined: 22 May 2016 Posts: 2099 Car A drives from P to Q at a constant rate of 100 km per hour. Afte [#permalink] ### Show Tags 04 Apr 2018, 09:17 1 MathRevolution wrote: [GMAT math practice question] Car A drives from P to Q at a constant rate of 100 km per hour. After car A has driven for 1 hour, train B begins traveling from Q to P at a constant rate of 150 km per hour. If the distance between P and Q is 600 km, then what distance has car A traveled when it meets train B? A. 200 km B. 220 km C. 250 km D. 270 km E. 300 km This problem has a couple of potential traps: a) Distance between P and Q $$\neq$$ Distance between A and B; b) A's total distance depends on A's total travel time, including the one hour that A travels alone 1) Find actual distance between A and B Total D between P and Q = 600 km Actual D between A and B = 500 km - A travels alone for 1 hour - A travels (100 kmh * 1hr)= 100 km - A travels toward B, shortens the distance - (600-100) = 500km between them when B starts 2) Find time it takes for A and B to meet Time=D/R, and D=500. We need rate (speed) Opposite directions: ADD speeds of A and B Combined speed = (100 + 150) = 250 kmh Time to meet=D/R: $$\frac{500}{250}$$= 2 hours 3) Total distance that A has traveled? Use A's total time, then multiply by A's rate TOTAL time that A travels Alone: 1 hour To meet B: 2 hours Total time A travels: 3 hours TOTAL distance A travels, RT=D: (100 kmh * 3 hrs) = 300 km Answer E VP Joined: 07 Dec 2014 Posts: 1114 Re: Car A drives from P to Q at a constant rate of 100 km per hour. Afte [#permalink] ### Show Tags 04 Apr 2018, 10:21 MathRevolution wrote: [GMAT math practice question] Car A drives from P to Q at a constant rate of 100 km per hour. After car A has driven for 1 hour, train B begins traveling from Q to P at a constant rate of 150 km per hour. If the distance between P and Q is 600 km, then what distance has car A traveled when it meets train B? A. 200 km B. 220 km C. 250 km D. 270 km E. 300 km 1 hour*100 kmh+[500/(100+150)] hours*100 kmh=300 km E Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6517 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Car A drives from P to Q at a constant rate of 100 km per hour. Afte [#permalink] ### Show Tags 05 Apr 2018, 23:51 => After car A has driven for 1 hour, the distance between car A and train B is 500 km. Car A and train B approach each other at a speed of 250 km/hr. This means that they will take 2 hours to meet each other. When they meet, car A will have traveled for 3 hours, and have covered a distance of 3 * 100 = 300 km. Therefore, the answer is E. Answer: E It is important that both vehicles will have traveled for the same amount of time after train B has started moving. This gives the equation 100 + 100t + 150t = 600, from which we may deduce that t = 2. Since 100 + 100 *2 = 300, E is the answer. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1291
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: Car A drives from P to Q at a constant rate of 100 km per hour. Afte  [#permalink]

### Show Tags

14 Apr 2018, 21:46
MathRevolution wrote:
[GMAT math practice question]

Car A drives from P to Q at a constant rate of 100 km per hour. After car A has driven for 1 hour, train B begins traveling from Q to P at a constant rate of 150 km per hour. If the distance between P and Q is 600 km, then what distance has car A traveled when it meets train B?

A. 200 km
B. 220 km
C. 250 km
D. 270 km
E. 300 km

Speed of Car = 100 km/hr

Let us say time = t

Distance travelled by Car = 100t

Speed of Train = 150 km/hr

Time = t - 1

Distance travelled by Train = 150 (t - 1)

Total distance = 600 kms

So, 600 = 100t + 150t - 150

750 = 250t

t = 3

Therefore, distance travelled by Car when it meets Train = 3 * 100 = 300 kms

(E)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Re: Car A drives from P to Q at a constant rate of 100 km per hour. Afte &nbs [#permalink] 14 Apr 2018, 21:46
Display posts from previous: Sort by