Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how

Question

Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $50 of gas?

(A) 61.25 miles
(B) 256 miles
(C) 400 miles
(D) 1600 miles
(E) 6400 miles

Kudos for a correct  solution .

BrentGMATPrepNow · Answer

When I scan the answer choice (ALWAYS check the answer choices before solving the question), I see they are  nicely spread apart , which means I can be quite aggressive with my  estimation .

Gas costs $4/gallon, and Dan has $50. 
$4 divides into $50 ABOUT  12  times (Note: the answer choices are spread out so much that  12  will work just as nicely as 12.5)
So, Dan can but ABOUT  12  gallons of gas.

Dan’s car gets  32  miles per gallon. 
So, the TOTAL miles that Dan can drive = ( 32  )( 12 )
This is APPROXIMATELY ( 30  )( 12 )
Which equals 360 miles. 
I know the REAL answer will be more than 360 (since I used 30 instead of 32), so the correct answer must be C

Cheers,
Brent

kunal555 · Answer

Gas costs $4/gallon. So gas that can be bought for $50 will be 50/4 = 12.5 gallons
Dan's car covers 32 miles per gallon. So distance covered in 12.5 gallons of gas is
32*12.5 = 400

Answer:- C

ersheet · Answer

For $4 one gets 1G of Gas
=> for $50 one gets (1/4)*50 = 12.5G of gas
With 1G of gas Dan's car goes 32 miles
=> with 12.5G Dan's car can go upto = 12.5*32 = 400 miles

Answer = C

Hemavakade · Answer

Car runs  32 miles  in  1gallon

Gas costs  $4  for  1 gallon

Basically car can be driven  32 miles  with  $4  worth of gas

now if we have  $50  worth of gas we can go --> (50 *32) / 4 = 50 * 8 = 400 miles

answer = C

Jonas84 · Answer

I believe the answer is C. Please see below for explanation.

Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $50 of gas?

0) we are told that Dan 's car gets 32 m/g

m = 32 * g

we are also told that gas costs 4d/g

d = 4 * g

How many miles will Dan's car go on 50 dollars of gas?

combining both equations 
m/32=d/4 then cross multiply and replace 50 for d 
4m=32*50 
m=1600/4 = 400

Answer C

ShristiK · Answer

$4 * 12 = $48 
So for $48 we will get 32 * 12 miles = 384 miles
remaining $2 will give us 32/2 = 16 miles
Total miles = 384 +16 = 400

longfellow · Answer

Answer is 400.

$50 will get 50/4 gallons. 1 gallon gives 32 miles so 50/4 will give 400 miles.

GMATinsight · Answer

$4 can buy 1 gallon
i.e. $50 can buy 50/4 = 12.5 gallons

1 Gallons is good for 32 miles
i.e. 12.5 Gallons is good for 12.5*32 = 400 miles

Answer: Option C

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION:

To get from dollars to gallons, we have to start with the $50, and divide by ($4/gallon) — that cancels the unit of dollars, and leaves us with gallons —– 50/4 gallons. (For the moment, I’ll leave it as that un-simplified fraction).

Now, we need to get from gallons to distance. We multiply by (32 miles/gallon), to cancel the units of gallons, and leave only miles —-

(50/4) gallons*(32 miles/gallon) = (32*50)/4 miles = (8*50) miles = 400 miles

Notice, we didn’t do anything with the four in the denominator until we got a 32 in the numerator with which we could cancel.

Answer = (C)

EMPOWERgmatRichC · Answer

Hi All,

The answers to this question are so 'spread out' that you can answer it with just a little bit of arithmetic and some estimation.

We're given 3 facts to work with:
1) A car gets 32 miles per gallon. 
2) Gas costs $4/gallon
3) Dan buys $50 worth of gas

We're asked how many miles Dan can travel with this car on this amount of gas.

Since gas costs $4/gallon, 10 gallons would cost $40. Since we spent a bit more than $40, we have a bit more than 10 gallons of gas.
Since the car gets 32 miles per gallon, 10 gallons would get us 320 miles. We have a bit more gas, so we traveled a bit more than 320 miles.

There's only one answer that makes any sense under these conditions...

Final Answer:  C

GMAT assassins aren't born, they're made,
Rich

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards