Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Jul 2015, 04:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# At noon, Paul stopped at a gas station and filled his car's

Author Message
TAGS:
CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
Followers: 9

Kudos [?]: 389 [0], given: 4

At noon, Paul stopped at a gas station and filled his car's [#permalink]  25 Oct 2007, 05:23
At noon, Paul stopped at a gas station and filled his car's 50 litre tank to its capacity. After he drove 75 miles away from the station, the tank developed a leak and the car started to lose 1/5 litres of fuel per minute. If he is travelling at a constant speed of 50 miles per hour and his car consumes 10 litres every 100 miles, what time will his car stop moving?

4 pm
4:15 pm
4:30 pm
5:00 pm
5:20 pm
VP
Joined: 10 Jun 2007
Posts: 1463
Followers: 6

Kudos [?]: 143 [0], given: 0

Re: Challenge - Multi-step RT=D [#permalink]  25 Oct 2007, 05:42
bmwhype2 wrote:
At noon, Paul stopped at a gas station and filled his car's 50 litre tank to its capacity. After he drove 75 miles away from the station, the tank developed a leak and the car started to lose 1/5 litres of fuel per minute. If he is travelling at a constant speed of 50 miles per hour and his car consumes 10 litres every 100 miles, what time will his car stop moving?

4 pm
4:15 pm
4:30 pm
5:00 pm
5:20 pm

12pm, 50 liter

After 75 miles, gas consumption only, 10/100 * 75 = 7.5 liter, so 42.5 liter left, time taken 1/50*75 = 1.5 hour, so in sum:
1.30pm, 42.5 liter

Beyond 75 mile, you have leak and gas consumption
leak = 1/5 liter/min
consume = 10/100 liter/mile
Set x = distance in miles
Set t = total time in hour

10/100 * x = total consume
x = 50t
So we have:
(1) 5t = total consume
(2) 1/5 * 60t = 12t = total leak

Looking for t:
42.5 - 12t - 5t = 0
42.5 = 17t
t = 2.5 hour

Therefore, the car will stop at 2.5 hour after 1.30pm
Ans = 4pm
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

I get 4:00pm as well...

lets see

first he consumes 7.5 litres of fuel, i.e its already 1:30pm

he develops a leak

looses 1/5 * 60=12 litres/hr

he is burning 5litres/hr driving which is 17litres/hr

42.5litres/17=2.5 hr

totally time to burnout 1.5+2.5=4pm
Similar topics Replies Last post
Similar
Topics:
On his drive to work, Leo listens one of three radio station 2 12 Jan 2009, 05:22
Mr. X drove his car 20 miles to airport and then flew 400 6 20 Mar 2008, 06:10
Bob just filled his car's gas tank with 20 gallons of 2 23 May 2007, 15:29
A gas station calculates price per gallon p, in dollars, 3 28 Jan 2007, 00:03
Roughly: Gas stations compute price per gallon (p) by adding 2 14 Oct 2006, 11:52
Display posts from previous: Sort by