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Data Sufficiency (DS) | Re: A certain car averaged 20 miles per gallon of gasoline on a trip from

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averagedude23 wrote:

A certain car averaged 20 miles per gallon of gasoline on a trip from City N to City P and averaged 25 miles per gallon on the return trip, which followed a different route. How many miles per gallon did the car average for the round trip?

(1) The round trip was 175 miles.

(2) The trip from City P was 3/4 as many miles as the trip to CityP.


Trip From City N to CityP

  • Distance =\(d_1\)
  • Mileage =\(20\) gallon/mile
  • Gasoline Used =\(20*d_1\) gallons

Trip From City P to CityN

  • Distance =\(d_2\)
  • Mileage =\(25\) gallon/mile
  • Gasoline Used =\(25*d_2\) gallons

Question - How many miles per gallon did the car average for the round trip?

Average miles per gallon =\( \frac{\text{Total Miles Travelled}}{\text{Total Gasoline Consumed}} = \frac{d_1+d_2}{20d_1 +25d_2}\)

Statement1

(1) The round trip was 175miles.

\( d_1 + d_2 =175\)

We don't know the amount of gasoline consumed. Hence, the statement alone is not sufficient. We can eliminate A and D.

Statement2

[color=#0000ff] (2) The trip from City
...

Statistics : Posted by gmatophobia • on 10 Nov 2023, 09:44 • Replies 1 • Views 125



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