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When a truck travels at 60 miles per hour, it uses 30% more

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When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 18 Sep 2006, 14:15
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When a truck travels at 60 miles per hour, it uses 30% more gasoline to travel any distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 Aug 2013, 05:24, edited 1 time in total.
Edited the question and added the OA.
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 [#permalink] New post 18 Sep 2006, 14:24
B. 180 minutes

E50 = 20mpg
E60 = 0.7 x E50 = 14mpg

Amount of gas = 10 gallons
Dist to dest = 160 miles
Speed = 60 mph

Total time to dest = 160/60 x 60 = 160 minutes

As 10 x 14 < 160, need to stop 20 minutes to refuel.

Total time = 160 + 20 = 180 minutes.
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 [#permalink] New post 18 Sep 2006, 14:41
the answer is B

at 50 miles/hr rate,
every hr needs 2.5gallons of gas {(50 miles/hr)/(20miles/ Gallon)=2.5 gollons/hr}
160/50=3.2hr
3.2*2.5=8 gallons
at 60 miles/hr rate, the truck use 30% more gasline
8*1.3=10.4 gallons
total time=160/60*60+20=180minutes
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 [#permalink] New post 19 Sep 2006, 00:30
Iawfy wrote:
the answer is B

at 50 miles/hr rate,
every hr needs 2.5gallons of gas {(50 miles/hr)/(20miles/ Gallon)=2.5 gollons/hr}
160/50=3.2hr
3.2*2.5=8 gallons
at 60 miles/hr rate, the truck use 30% more gasline
8*1.3=10.4 gallons
total time=160/60*60+20=180minutes


Hi iamwfy,

we can conclude the above thing fast.......

At 50mph truck needs 1 gallon for 20 miles.
At 60mph truck needs 1.3gallons for the same 20 miles(bcoz the consumption is 30%higher)

It has to travel 160 miles at 60mph,so it will need 1.3 x 8 =10.4 gallons.
Since it has only 10 gallons it has to wait for 20 minutes to get the extra 0.4 gallon.

So total time is 160minutes +20 minutes = 180
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Last edited by cicerone on 24 Sep 2008, 23:59, edited 1 time in total.
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 [#permalink] New post 19 Sep 2006, 09:49
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@60 mph mileage = (1 - 0.3) * 20 = 14 mpg

Time = Distance/speed
TIme = 160/60 hours
Time = 160/60 * 60 minutes
Time = 160 minutes.
Since the truck is using gas at the rate of 14 mpg and there are only 10 gallons. So,

Time = 160 + 20 = 180.

ANSWER: B
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 [#permalink] New post 19 Sep 2006, 09:50
lan583 wrote:
cicerone wrote:
Iawfy wrote:
the answer is B

at 50 miles/hr rate,
every hr needs 2.5gallons of gas {(50 miles/hr)/(20miles/ Gallon)=2.5 gollons/hr}
160/50=3.2hr
3.2*2.5=8 gallons
at 60 miles/hr rate, the truck use 30% more gasline
8*1.3=10.4 gallons
total time=160/60*60+20=180minutes


Hi iamwfy,

we can conclude the above thing fast.......

At 50mph truck needs 1 gallon for 20 miles.
At 60mph truck needs 1.3gallons for the same 20 miles(bcoz the consumption is 30%higher)

It has to travel 160 miles at 60mph,so it will need 1.3 x 8 =10.4 gallons.
Since it has only 10 gallons it has to wait for 20 minutes to get the extra 0.4 gallon.

So total time is 160minutes +20 minutes = 180


Where did you get 160 minutes? Thanks


To travel 160 miles with 60mph it will obviously take 160 minutes and 20 more minutes to fill the extra gas needed
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Re: Word problem - time [#permalink] New post 27 Feb 2011, 11:04
New mileage @ 60mph = 20/1.3 miles per gallon
Gallons of gas required to cover 160 miles @ 60mph = 160 / (20 / 1.3). But its tank hold only 10 gallons. Hence the truck will make one stop for 20 min.

Normal time to cover 160 miles = 160/60 hr = 160 mins.
Now total time = 160 mins + 20 mins = 180 mins

Madelaine88 wrote:
When a truck travels at 60 mph, it takes 30% more gasoline to travel any distance than it does when it travels at 50 mph. The truck can travel 20 miles on a gallon of gas if it is travelling at 50mph. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 mph?

A/ 160 min
B/ 180 min
C/ 190 min
D/ 192 min
E/ 195 min

Last edited by gmat1220 on 27 Feb 2011, 11:11, edited 1 time in total.
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Re: Word problem - time [#permalink] New post 27 Feb 2011, 11:09
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Sol:
The question is how many times the truck stops for refueling?

If it didn't have to stop; then the truck would travel a distance of 160 m @ 60mph in

160/60 = 2hours 40minutes

Let's see how many times the truck will have to stop for the gas;

@ 60 mph, the mileage of the truck will be;
\frac{20}{1.3}

So; in 10 gallons; the truck will travel
\frac{20*10}{1.3} miles
\frac{20*10}{1.3} miles \approx 153 miles

Still few miles short of 160. Thus; refueling the tank once would suffice even if the tank's capacity is just 10 gallons.

If the truck stopped once for the fill; then it spent an extra 20 minutes.

Total travel time = 2 hour 40 min+20 min = 3 hours = 180 mins

Ans: "B"
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Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 20 Aug 2013, 05:17
Hi Bunuel

Can u clarify, is gallon consumption has to play a vital part to solve it???
I don't think so. Its mentioned to make someone confused...

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Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 20 Aug 2013, 05:34
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prasannajeet wrote:
When a truck travels at 60 miles per hour, it uses 30% more gasoline to travel any distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes

Hi Bunuel

Can u clarify, is gallon consumption has to play a vital part to solve it???
I don't think so. Its mentioned to make someone confused...

Rgds
Prasannajeet


We use consumption to see whether 10 gallons are enough to travel 160 miles, so whether 20 additional minutes will be needed to refuel while covering the distance.

Hope it helps.
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Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 20 Aug 2013, 06:15
Hi Bunuel

Understood and thanx for explanation

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Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 20 Aug 2013, 06:38
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faifai0714 wrote:
When a truck travels at 60 miles per hour, it uses 30% more gasoline to travel any distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes


The answer is indeed B, but I feel like this question could be made more interesting (or perhaps just harder) if we introduced a choice. The driver can drive at 50 mph or 60 mph. What is the minimum amount of time he could take to reach his destination. Then we'd need to add in 160 miles / 50 mph = 3.2 hours, or 180 minutes + (\frac{1}{5} * 60) = 192 minutes (not coincidentally answer choice D).

Then we could compare D to B and determine that going 60 mph is faster than 50 and pick B as the overall answer. Of course this might make people think that if he drove at ~55 mph he'd probably get there in under 3 hours without having to refuel. :wink:

Just fuel for understanding GMAT algebra concepts!

Thanks!
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Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink] New post 20 Aug 2013, 06:48
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VeritasPrepRon wrote:
faifai0714 wrote:
When a truck travels at 60 miles per hour, it uses 30% more gasoline to travel any distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas. How long will it take the truck to reach its final destination if the truck is driven at 60 miles per hour?

A. 160 minutes
B. 180 minutes
C. 190 minutes
D. 192 minutes
E. 195 minutes


The answer is indeed B, but I feel like this question could be made more interesting (or perhaps just harder) if we introduced a choice. The driver can drive at 50 mph or 60 mph. What is the minimum amount of time he could take to reach his destination. Then we'd need to add in 160 miles / 50 mph = 3.2 hours, or 180 minutes + (\frac{1}{5} * 60) = 192 minutes (not coincidentally answer choice D).

Then we could compare D to B and determine that going 60 mph is faster than 50 and pick B as the overall answer. Of course this might make people think that if he drove at ~55 mph he'd probably get there in under 3 hours without having to refuel. :wink:

Just fuel for understanding GMAT algebra concepts!

Thanks!
-Ron


+1.

Thank you Ron for giving me an idea for a question.
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Re: When a truck travels at 60 mph, it takes 30% more gasoline [#permalink] New post 18 Nov 2013, 05:02
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Re: When a truck travels at 60 mph, it takes 30% more gasoline   [#permalink] 18 Nov 2013, 05:02
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