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

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Manager
Joined: 15 Dec 2015
Posts: 120
GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
Drogba needs to travel a certain distance.He travels certain distance [#permalink]

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Updated on: 31 Jul 2017, 23:04
3
00:00

Difficulty:

55% (hard)

Question Stats:

70% (02:20) correct 30% (03:12) wrong based on 46 sessions

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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.
Manager
Joined: 15 Dec 2015
Posts: 120
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]

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31 Jul 2017, 23:05
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. $$\frac{300x}{100-x}$$

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Senior Manager
Joined: 24 Apr 2016
Posts: 333
Re: Drogba needs to travel a certain distance.He travels certain distance [#permalink]

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31 Jul 2017, 23:35
1
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 = $$\frac{200X}{300 - X}$$

Re: Drogba needs to travel a certain distance.He travels certain distance   [#permalink] 31 Jul 2017, 23:35
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