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While driving from city A to city B, a car got 22 miles per

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While driving from city A to city B, a car got 22 miles per [#permalink] New post   30 Aug 2018, 07:36
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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.
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B
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HappyMathtutor
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Re: While driving from city A to city B, a car got 22 miles per [#permalink] New post   13 Jan 2019, 22:37
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We have one car that has 22 mpg
the other has 30 mpg

find the least common multiple.
22= 11*2
30=5*3*2

11*2*5*3 = 330 miles

330 miles= 22mpg *x gallons
x=15

330 miles = 30 mpg *y gallons
y= 11

11 gallons+15 gallons=26 total gallons spent

330 miles ahead and back = 660 miles

660/26= 25.38

the answer is B
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Re: While driving from city A to city B, a car got 22 miles per [#permalink] New post   15 Oct 2018, 11:04
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22 miles need 1 gallon, therefore, 1 mile needs 1//22 for A to B. Similarly, 1/30 for B to A.
1+1= 2 miles need (1/20 +1/30) = 52/660 gallons
Now, 52/660 gallons need 2 miles for entire journey
Therefore, 1 gallons need= (2*660)/52 = 25.38
so, Answer is B
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Re: While driving from city A to city B, a car got 22 miles per [#permalink] New post   14 Jan 2019, 00:33
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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] New post   21 May 2021, 18:43
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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] New post   10 Sep 2021, 04:31
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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] New post   07 Oct 2021, 04:42
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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] New post   07 Oct 2021, 05:47
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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] New post   25 Jan 2022, 11:19
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] New post   25 Jan 2022, 11:22
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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] New post   25 Jan 2022, 11:25
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] New post   25 Jan 2022, 11:40
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SyedNusratShah wrote:
I mean this, 2ab/a+b formula. where I can find the details of this?

Posted from my mobile device


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] New post   16 Aug 2024, 02:10
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Re: While driving from city A to city B, a car got 22 miles per [#permalink]
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