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When a truck travels at 60 miles per hour, it uses 30% more [#permalink]
18 Sep 2006, 14:15

2

This post received KUDOS

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

66% (03:27) correct
33% (03:21) wrong based on 98 sessions

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

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

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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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,

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

Re: Word problem - time [#permalink]
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.

Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink]
20 Aug 2013, 05:34

2

This post received KUDOS

Expert's post

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.

Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink]
20 Aug 2013, 06:38

2

This post received KUDOS

Expert's post

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.

Just fuel for understanding GMAT algebra concepts!

Re: When a truck travels at 60 miles per hour, it uses 30% more [#permalink]
20 Aug 2013, 06:48

Expert's post

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.

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]
18 Nov 2013, 05:02

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