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

 It is currently 23 Oct 2019, 11:27

### 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

# A car traveled 65% of the way from Town A to Town B at an average spee

Author Message
TAGS:

### Hide Tags

Manager
Status: 2 months to go
Joined: 11 Oct 2015
Posts: 105
GMAT 1: 730 Q49 V40
GPA: 3.8
A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

Updated on: 24 May 2016, 01:27
3
6
00:00

Difficulty:

5% (low)

Question Stats:

86% (02:10) correct 14% (02:08) wrong based on 170 sessions

### HideShow timer Statistics

A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

Source: Nova's GMAT Math Prep

Originally posted by DensetsuNo on 24 May 2016, 01:18.
Last edited by DensetsuNo on 24 May 2016, 01:27, edited 2 times in total.
Manager
Status: 2 months to go
Joined: 11 Oct 2015
Posts: 105
GMAT 1: 730 Q49 V40
GPA: 3.8
A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

Updated on: 24 May 2016, 06:25
1
3
My take:
$$Distance = Rate$$ x $$Time$$

We will solve this problem as $$\frac{D1}{R1} + \frac{D2}{R2} = \frac{Dtot}{Rtot}$$

Whenever we have a % as a distance, that percentage becomes our distance (since the real distance would be a multiple of it)
Therefore $$D1=65$$ $$D2=35$$ $$Dtot=100$$.

As for the rate we knew: $$R1=65mph$$ $$R2=v$$ $$Rtot=50mph$$

Therefore $$\frac{65}{65} + \frac{35}{v} = \frac{100}{50}$$ -> $$1 + \frac{35}{v} = 2$$ -> $$v = 35$$

Originally posted by DensetsuNo on 24 May 2016, 01:26.
Last edited by DensetsuNo on 24 May 2016, 06:25, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 58464
Re: A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

24 May 2016, 03:35
DensetsuNo wrote:
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

Source: Nova's GMAT Math Prep

Similar question to practice: a-car-traveled-75-of-the-way-from-town-a-to-town-b-at-an-149921.html
_________________
SVP
Joined: 06 Nov 2014
Posts: 1873
Re: A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

24 May 2016, 04:18
1
1
DensetsuNo wrote:
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

Source: Nova's GMAT Math Prep

Assume total distance = 100miles

Time taken for 65 miles = 65/65 = 1 hour
Time taken for the rest of the 35 miles = 35/v hours.

Average speed = 50
Therefore the total time needed = 2 hours.

2 = 1 + 35/v
Hence v = 35 mph

Correct Option: E
Current Student
Joined: 18 Oct 2014
Posts: 801
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

24 May 2016, 05:11
1
DensetsuNo wrote:
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

Source: Nova's GMAT Math Prep

Let the total distance be x
.65x is travelled with speed 65 mph and .35x is travelled with speed v

Avg speed= total distance/total time
50= x/.65x/65+.35x/v
50= 1/.01+.35/v
50= v/.0v+.35
.5v + 17.5= v
v= 35 mph

_________________
I welcome critical analysis of my post!! That will help me reach 700+
Math Expert
Joined: 02 Aug 2009
Posts: 8023
A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

24 May 2016, 06:32
1
DensetsuNo wrote:
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

Source: Nova's GMAT Math Prep

Hi,
There can be two three ways..

1) choices-
When the distance covered is same at two different speeds A and B, the average speed is$$\frac{2AB}{A+B}$$...

here let the second speed be x so average =$$\frac{2*x*65}{x+65}= 50$$................$$130x= 50x + 50*65............80x = 50*65 \approx{50*64}...............x = 40$$....
so, if the distance travelled was same, speed would be nearly 40....
But here distance travelled at 65 is 65% of total distance, so speed for lesser distance has to be less than 40..
ONLY 35 is in choice
E

2) let the distance be 100 miles..
65% = 65 miles...
so time taken to travel $$65 miles @ 65mph = \frac{65}{65}= 1$$hr....
Total time takem = $$100 miles @ 50mph = \frac{100}{50} =2$$hr...
so the remaining 35% or 35 miles was travelled in 1 hour, so speed = 35/1 = 35mph
_________________
Manager
Joined: 20 Jul 2018
Posts: 87
GPA: 2.87
Re: A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

18 Aug 2018, 09:49
lats say total distance from A to B is 100 miles
65 miles is traveled by 65 miles/hour so it took 1 hour
100 miles is traveled by 50 miles/hour so it took 2 hours

so 35 miles distance is covered in 1 hour
hence v = 35/1 = 35 miles/hour

_________________
Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: A car traveled 65% of the way from Town A to Town B at an average spee  [#permalink]

### Show Tags

20 Aug 2018, 11:32
DensetsuNo wrote:
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.
The car traveled at an average speed of v mph for the remaining part of the trip.
The average speed for the entire trip was 50 mph. What is v in mph?

(A) 65
(B) 50
(C) 45
(D) 40
(E) 35

We can let the distance from Town A to Town B = 100 miles. So the car traveled the first 65 miles at 65 mph and the last 35 miles at v mph. Since total distance/total time = average rate, we have:

100/(65/65 + 35/v) = 50

100/(1 + 35/v) = 50

100 = 50(1 + 35/v)

2 = 1 + 35/v

1 = 35/v

v = 35

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: A car traveled 65% of the way from Town A to Town B at an average spee   [#permalink] 20 Aug 2018, 11:32
Display posts from previous: Sort by