GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Nov 2018, 09:45

# Join Chat Room for Live Updates

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# When a truck travels at 60 miles per hour, it uses 30 percent more gas

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50583
When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

02 Nov 2017, 22:06
00:00

Difficulty:

45% (medium)

Question Stats:

70% (03:05) correct 30% (03:14) wrong based on 100 sessions

### HideShow timer Statistics

When a truck travels at 60 miles per hour, it uses 30 percent 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 it is driven at 60 miles per hour?

(A) 160 minutes
(B) 180 minutes
(C) 190 minutes
(D) 192 minutes
(E) 195 minutes

_________________
Director
Joined: 18 Aug 2016
Posts: 625
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

02 Nov 2017, 22:50
Bunuel wrote:
When a truck travels at 60 miles per hour, it uses 30 percent 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 it is driven at 60 miles per hour?

(A) 160 minutes
(B) 180 minutes
(C) 190 minutes
(D) 192 minutes
(E) 195 minutes

Speed = 50 miles/Hr ; Gasoline usage = 1 gallon/20 miles
Speed = 60 miles/Hr ; Gasoline usage = 1.3 gallon/20 miles
Total Stock of Gasoline = 10 gallons
Till 120 miles; D travelled = 120 miles; Speed = 60 miles/Hr; Gasoline Used = 7.8 gallons (2.2 left) ; time taken = 2 hrs
Till 140 miles; D travelled = 140 miles; Speed = 60 miles/Hr; Gasoline Used = 9.1 gallons (0.9) ; time taken = 140 mins
Stop for Gasoline = 20 mins ; time taken = 160 mins
Till 160 miles; D travelled = 160 miles; Speed = 60 miles/Hr; time taken = 160+20 mins = 180 mins (20 mins to travel 20 miles)
B
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

03 Nov 2017, 01:50
60 m/h - 1,3 gasoline gallons for every 20 miles
50 m/h - 1 gasoline gallon for every 20 miles
We have 10 gallons left, so 10/1.3~7,7 rounding to units = 7; 7*1,3=9,1 gallons, so we have 0,9 gallons left.
7*20 miles=140miles, which means that with speed 60m/h it would take 140 mins, however we need to refuel to cover remaining 20 miles. Thus, after refuelling it would take 20 min more to cover 20 miles ==> 140+ 20=180 mins. Answer B.
Senior SC Moderator
Joined: 22 May 2016
Posts: 2092
When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

03 Nov 2017, 13:42
1
Bunuel wrote:
When a truck travels at 60 miles per hour, it uses 30 percent 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 it is driven at 60 miles per hour?

(A) 160 minutes
(B) 180 minutes
(C) 190 minutes
(D) 192 minutes
(E) 195 minutes

I think the gas information is a lot of extra . . . All you need is to see that he is not going to cover 160 miles with 10 gallons of gas driving at 60 mph. I'm wondering if I have my units confused.

At 50mph, he would be able to go 20 miles/gal * 10 gallons = 200 miles

30 percent fewer miles than that, x = miles he can cover?
$$200 = 1.3x$$
$$x =\frac{200}{1.3}=$$
approx 154 mi

Conclusion: he has to stop for gas.

TIME to travel?

He is 160 miles from his destination. D/r= time

Time to travel, w/o gas stop:
$$\frac{160}{60}=\frac{8}{3} hrs$$ without the gas stop

Time for Gas stop = 20 minutes = 1/3 hr

Time total:$$\frac{8}{3} + \frac{1}{3}=\frac{9}{3}= 3 hrs$$

= 180 minutes

Manager
Joined: 06 Aug 2017
Posts: 87
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
Re: When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

04 Nov 2017, 00:28
Alexey1989x wrote:
60 m/h - 1,3 gasoline gallons for every 20 miles
50 m/h - 1 gasoline gallon for every 20 miles
We have 10 gallons left, so 10/1.3~7,7 rounding to units = 7; 7*1,3=9,1 gallons, so we have 0,9 gallons left.
7*20 miles=140miles, which means that with speed 60m/h it would take 140 mins, however we need to refuel to cover remaining 20 miles. Thus, after refuelling it would take 20 min more to cover 20 miles ==> 140+ 20=180 mins. Answer B.

Hi Alexey,

You have done a calculation mistake in the portion marked with RED color in your response.

140+ 20=160 not 180
_________________

-------------------------------------------------------------------------------
Kudos are the only way to tell whether my post is useful.

GMAT PREP 1: Q50 V34 - 700

Veritas Test 1: Q43 V34 - 630
Veritas Test 2: Q46 V30 - 620
Veritas Test 3: Q45 V29 - 610
Veritas Test 4: Q49 V30 - 650

GMAT PREP 2: Q50 V34 - 700

Veritas Test 5: Q47 V33 - 650
Veritas Test 5: Q46 V33 - 650

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: When a truck travels at 60 miles per hour, it uses 30 percent more gas  [#permalink]

### Show Tags

06 Nov 2017, 16:57
Bunuel wrote:
When a truck travels at 60 miles per hour, it uses 30 percent 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 it is driven at 60 miles per hour?

(A) 160 minutes
(B) 180 minutes
(C) 190 minutes
(D) 192 minutes
(E) 195 minutes

We are given that when a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel any distance than it does when it travels at 50 miles per hour, and that the truck can travel 20 miles on a gallon of gas if it is traveling at 50 miles per hour. So, when traveling at 60 mph, the truck travels 20/1.3 = 200/13 miles per gallon of gas.

Thus, the number of gallons of gas used in a 160-mile trip is 160/(200/13) = 160 x 13/200 = 10.4, which is more than the 10 gallons of gas the truck has.

The time to drive 160 miles at 60 mph is 160/60 = 16/6 hours = 8/3 hours x 60 = 160 minutes. However, since we have to stop for 20 minutes to fill the truck with gas (recall that we don’t have a sufficient amount of gas for the trip), the total time for the 160-mile trip is 160 + 20 = 180 minutes.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: When a truck travels at 60 miles per hour, it uses 30 percent more gas &nbs [#permalink] 06 Nov 2017, 16:57
Display posts from previous: Sort by