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

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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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New post Updated on: 31 Jul 2017, 23:04
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A
B
C
D
E

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.
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GMAT 1: 660 Q46 V35
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Re: Drogba needs to travel a certain distance.He travels certain distance [#permalink]

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New post 31 Jul 2017, 23:05
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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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Re: Drogba needs to travel a certain distance.He travels certain distance [#permalink]

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New post 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 = \(\frac{200X}{300 - X}\)

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