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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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sandy wrote:
While driving from city A to city B, a car got 22 miles per gallon and while returning on the same road, the car got 30 miles per gallon.

Quantity A
Quantity B
The car’s average gas mileage for the entire trip, in miles per gallon
\(26\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



50% wrong means that most are straightway taking the average of two mileages

That is going to be wrong, as it will be wrong for average speed question too..

When you are travelling same distance in two different speeds or different mileage, the average of total will always be LESS than the arithmetic mean of the two

so here B is the mean, so will be greater than A..

The best way would be to take the LCM of two speeds or mileage as the distance one way as also shown above by Happymathtutor.

so LCM of 22 and 30 is 330...
1) fuel used while going = 330/22=15
2) fuel used while returning = 330/30=11

distance = 330+330=660
fuel used = 15+11=26
Average = 660/26 = 25.38 <26
hence B>A
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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There is a simple formula we can use i.e. 2ab/a+b
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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2*22*30 / (22+30) = 25.38 < B
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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Naveen542 wrote:
There is a simple formula we can use i.e. 2ab/a+b


Can you explain a bit more? Where does this formula come from?
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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kairapotato wrote:
Naveen542 wrote:
There is a simple formula we can use i.e. 2ab/a+b


Can you explain a bit more? Where does this formula come from?

\\It is explained in our book

Please refer to it https://gre.myprepclub.com/forum/gre-quant ... tml#p52437

We have all the resources for the GRE
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
Carcass wrote:
kairapotato wrote:
Naveen542 wrote:
There is a simple formula we can use i.e. 2ab/a+b


Can you explain a bit more? Where does this formula come from?

\\It is explained in our book


We have all the resources for the GRE


Can you send me the actual snip of location, where it is found in GRE book, I can not find. Thankyou.

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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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Do you mean the distance rate formula ?
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
I mean this, 2ab/a+b formula. where I can find the details of this?

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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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SyedNusratShah wrote:
I mean this, 2ab/a+b formula. where I can find the details of this?

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frankly I do not know Sir. That formula is best for work/rate problems when you combine the work.

here is a distance rate problem which, yes, is under the same umbrella but slightly different

Look here more on work rate problems https://gre.myprepclub.com/forum/gre-work- ... 24921.html

here more on the distance rate problems https://gre.myprepclub.com/forum/gre-time- ... 24922.html
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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