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

 It is currently 19 Oct 2019, 15:19

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 race car can travel 120 mph without any wind. If the car can travel

Author Message
TAGS:

Hide Tags

Retired Moderator
Joined: 27 Oct 2017
Posts: 1259
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

20 Oct 2018, 10:20
1
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:06) correct 33% (01:58) wrong based on 46 sessions

HideShow timer Statistics

A race car can travel 120 mph without any wind. If the car can travel 200 miles with the wind in the same amount of time the car takes to go 100 miles against the wind, what is the speed of the wind?
A) 24 mph
B) 30 mph
C) 40 mph
D) 45 mph
E) 60 mph

GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 5

_________________
Manager
Joined: 16 Sep 2011
Posts: 91
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

20 Oct 2018, 10:26
100/(c-w) = 200/(c+w), where c is speed of car and w is speed of wind
c+w= 2c-2w
which gives c=3w
hence speed of wind= 40m/hr
option C
Intern
Joined: 08 Feb 2018
Posts: 20
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

20 Oct 2018, 10:26
C.

Since time is same, 200/120+x = 100/120-x. wind speed is 40.
Intern
Joined: 02 Apr 2018
Posts: 48
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

20 Oct 2018, 10:27
C: 40mph
The time it takes the car to travel 100 miles against the wind is:
T= 100 / (120-w)

Plug that in to (120+w)T = 200
(120 + w ) (100 / (120-w)) = 200
we get w = 40
Intern
Joined: 17 Dec 2016
Posts: 19
Location: Viet Nam
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

20 Oct 2018, 10:34

Posted from my mobile device
Attachments

image.jpg [ 1.65 MiB | Viewed 510 times ]

Intern
Joined: 29 Jul 2018
Posts: 7
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

25 Oct 2018, 12:00
Since it takes the car to travel the double distance in the same amount of time, then the speed with wind should be the double the speed of the car without a wind.

The speed = 120mph => only 120 - 40 = 80 and 120 + 40 = 160 satisfy this condition
Director
Joined: 19 Oct 2013
Posts: 516
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A race car can travel 120 mph without any wind. If the car can travel  [#permalink]

Show Tags

25 Oct 2018, 12:13
gmatbusters wrote:
A race car can travel 120 mph without any wind. If the car can travel 200 miles with the wind in the same amount of time the car takes to go 100 miles against the wind, what is the speed of the wind?
A) 24 mph
B) 30 mph
C) 40 mph
D) 45 mph
E) 60 mph

GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 5

Time = Distance/Speed

We are given the time is equal

$$\frac{200}{(120+w)} = \frac{100}{(120-w)}$$

cross multiply we get $$200*120 - 200w = 120*100 + 100w$$

it becomes$$2*100*120 - 100*120 = 300w$$

$$100*120 = 300w$$

$$120 = 3w$$

w = 40

Re: A race car can travel 120 mph without any wind. If the car can travel   [#permalink] 25 Oct 2018, 12:13
Display posts from previous: Sort by