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

 It is currently 15 Jun 2019, 21:56 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Drogba needs to travel a certain distance.He travels certain distance

Author Message
TAGS:

Hide Tags

Manager  G
Joined: 15 Dec 2015
Posts: 115
GMAT 1: 660 Q46 V35 GPA: 4
WE: Information Technology (Computer Software)
Drogba needs to travel a certain distance.He travels certain distance  [#permalink]

Show Tags

9 00:00

Difficulty:   65% (hard)

Question Stats: 64% (03:25) correct 36% (03:17) wrong based on 69 sessions

HideShow timer Statistics

Drogba needs to travel a certain distance.He travels certain distance by car and the rest by train.Car travel costs him $12 per km and traveling by train cost him$8 per km.If the total amount spent on car travel was x% of the total amount spent on the whole journey and the total distance traveled by car was y% of the total distance covered, what is the value of y in terms of x?

A. $$\frac{x}{100-x}$$

B. $$\frac{200x}{300-x}$$

C. $$\frac{300x}{200-x}$$

D. $$\frac{200x}{x-300}$$

E. $$\frac{300x}{100-x}$$

Originally posted by DHAR on 31 Jul 2017, 22:56.
Last edited by Bunuel on 31 Jul 2017, 23:04, edited 1 time in total.
Edited the question.
Math Expert V
Joined: 02 Aug 2009
Posts: 7737
Re: A man needs to travel a certain distance. He travels a certain distanc  [#permalink]

Show Tags

kiran120680 wrote:
A man needs to travel a certain distance. He travels a certain distance by car and the rest by train. Car travel costs him $12 per km and traveling by train cost him$8 per km. If the total amount spent on car travel was x% of the total amount spent on whole journey and the total distance travelled by car was y% of the total distance covered, what is the value of y in terms of x?

A. x/(100-x)
B. 200x/(300-x)
C. 300x/(200-x)
D. 200x/(x-300)
E. None of these

As for the solution..

Best way would be to take value of x and y
Let the total distance be 100, in which 50% is traveled by each mode, so y=50%.
Total amount spent = 12*50+8*50=1000.
so x = $$\frac{12*50}{1000}$$=60%

Let us check the value that gives us an answer 50%.

A. $$\frac{x}{100-x}=\frac{60}{100-60}=\frac{60}{40}$$...NO

B. $$\frac{200x}{300-x}=\frac{200*60}{300-60}=\frac{12000}{240}=50$$...YES

C. $$\frac{300x}{200-x}=\frac{300*60}{200-60}=\frac{18000}{140}$$...NO

D. $$\frac{200x}{x-300}=\frac{200*60}{60-300}=\frac{12000}{-240}=-50$$... Cannot be negative... NO

E. $$\frac{300x}{100-x}=\frac{300*60}{100-60}=\frac{18000}{40}$$ or None of these... NO

Thus B
_________________
Senior Manager  G
Joined: 24 Apr 2016
Posts: 328
Re: Drogba needs to travel a certain distance.He travels certain distance  [#permalink]

Show Tags

3
2
Let the Total distance travelled by Car and Train = 100

Distance Travelled by Car = Y % of 100 = Y
Distance Travelled by Train = (100 - Y) % of 100 = (100 - Y)

Cost incurred with Car Travel = 12 * Y = 12Y
Cost incurred with Train Travel = 8 * (100 - Y) = 800 - 8Y
Total Cost = 12Y + 800 - 8Y = 800 + 4Y = 4 (200 + Y)

Given : Total amount spent on car travel was X% of the total amount spent on the whole journey

$$\frac{12Y * 100}{4 (200 + Y)}$$ = X

$$\frac{3Y * 100}{(200 + Y)}$$ = X

300Y = 200X + YX

300Y - YX = 200X

Y (300 - X) = 200X

Y = $$\frac{200X}{300 - X}$$

General Discussion
Manager  G
Joined: 15 Dec 2015
Posts: 115
GMAT 1: 660 Q46 V35 GPA: 4
WE: Information Technology (Computer Software)
Re: Drogba needs to travel a certain distance.He travels certain distance  [#permalink]

Show Tags

1
DH99 wrote:
Drogba needs to travel a certain distance.He travels certain distance by car and the rest by train.Car travel costs him $12 per km and traveling by train cost him$8 per km.If the total amount spent on car travel was x% of the total amount spent on the whole journey and the total distance traveled by car was y% of the total distance covered, what is the value of y in terms of x?

A. $$\frac{x}{100-x}$$
B. $$\frac{200x}{300-x}$$
C. $$\frac{300x}{200-x}$$
D. $$\frac{200x}{x-300}$$
E. $$\frac{300x}{100-x}$$

Attachments

File comment: Solution image.jpg [ 1.15 MiB | Viewed 1815 times ]

CEO  P
Joined: 18 Aug 2017
Posts: 3834
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Drogba needs to travel a certain distance.He travels certain distance  [#permalink]

Show Tags

let total distance = 100km
and distance by car = 50 km and train = 50 km
so amount spent on car travel = 12* 50 ; 600 and train 50*8; 400
total 1000
given
x% = 12*50/1000 = 60%
y% = 50/10 = 50%
so now we need to find option where upon doing substitution of x= 60 ; we get y= 50

$$\frac{200x}{300-x}$$
sufficies
IMO B

DHAR wrote:
Drogba needs to travel a certain distance.He travels certain distance by car and the rest by train.Car travel costs him $12 per km and traveling by train cost him$8 per km.If the total amount spent on car travel was x% of the total amount spent on the whole journey and the total distance traveled by car was y% of the total distance covered, what is the value of y in terms of x?

A. $$\frac{x}{100-x}$$

B. $$\frac{200x}{300-x}$$

C. $$\frac{300x}{200-x}$$

D. $$\frac{200x}{x-300}$$

E. $$\frac{300x}{100-x}$$

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: Drogba needs to travel a certain distance.He travels certain distance   [#permalink] 03 Mar 2019, 03:40
Display posts from previous: Sort by

Drogba needs to travel a certain distance.He travels certain distance  