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

 It is currently 20 Jun 2018, 06:02

### 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 June
Open Detailed Calendar

# Both car A and car B set out from their original locations at exactly

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 02 Jan 2017
Posts: 314
Both car A and car B set out from their original locations at exactly [#permalink]

### Show Tags

14 Mar 2017, 04:06
4
00:00

Difficulty:

55% (hard)

Question Stats:

71% (17:03) correct 29% (03:23) wrong based on 96 sessions

### HideShow timer Statistics

Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

(A) 0.50

(B) 1.00

(C) 1.25

(D) 1.33

(E) 2.00
Intern
Joined: 26 Feb 2017
Posts: 4
Re: Both car A and car B set out from their original locations at exactly [#permalink]

### Show Tags

14 Mar 2017, 08:39
2
1
Quote:
Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

Car A: 65m/h
Car B: 50m/h

Houston to morse = m = distance
$$speed=\frac{dist}{time}$$

Car A:
$$65m/h=\frac{m}{t}$$
$$m=65*t$$ ....equation 1

Car B:
$$50m/h=\frac{2m}{(t+2)}$$
$$2m=50*t+50*2$$
$$m=25*t+50$$ ....equation 2

Combining equation 1 and 2
$$65*t=25*t+50$$
$$40*t=50$$
$$t=5/4$$
$$t=1,25$$
VP
Joined: 07 Dec 2014
Posts: 1018
Both car A and car B set out from their original locations at exactly [#permalink]

### Show Tags

14 Mar 2017, 13:45
1
vikasp99 wrote:
Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip?

(A) 0.50

(B) 1.00

(C) 1.25

(D) 1.33

(E) 2.00

65t=d
50(t+2)=2d
130t=50t+100
t=5/4=1.25 hours
C
Non-Human User
Joined: 09 Sep 2013
Posts: 7006
Re: Both car A and car B set out from their original locations at exactly [#permalink]

### Show Tags

16 Apr 2018, 06:42
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.
_________________
Re: Both car A and car B set out from their original locations at exactly   [#permalink] 16 Apr 2018, 06:42
Display posts from previous: Sort by