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 Your Progress
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
06 Sep 2013, 02:29
1
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
45% (medium)
Question Stats:
67% (02:54) correct
33% (01:51) wrong based on 226 sessions
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
06 Sep 2013, 02:38
4
This post received KUDOS
Expert's post
caro2789 wrote:
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
A) 90 B) 130 C) 150 D) 320 E) 450
In one hour A covers 90 kilometers. So, by the time B starts traveling the distance between the trucks is 770-90=680 kilometers.
To cover that distance the trucks need (total distance)/(combined rate)=680/(90+80)=4 hours.
In 4 hours B covered 4*80=320 kilometers and A covered 770-320=450 kilometers.
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
06 Sep 2013, 17:19
caro2789 wrote:
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
A) 90 B) 130 C) 150 D) 320 E) 450
1. Driver A traveled totally for 1 hr + (770-90)/ (90+80) hrs= 5 hrs. Distance traveled = 90*5=450 km 2. Driver B traveled 1 hr less i.e., he traveled for 4 hrs. Distance traveled = 80*4=320 km 3. Difference is, 450-320=130km _________________
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
09 Sep 2013, 02:46
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
We are looking for how long it takes the two drivers to meet at some point between both ends of the highway. We are NOT looking for how long it takes for each truck to reach the other side of the highway. If Driver B sets off one hour after A, then A has already traveled for 90km when driver B begins to move. After one hour, driver A and B have to cover 770-90 = 680 km. Their total average speed is 90+80 km/h which means it will take them 680km/170km/h = 4 hours. In this time A travels 90 + (4*90) = 450 km which means that B travels 770 - 450 = 320 km so A travels 130 km more than B.
ANSWER: B) 130
I got tripped up when I couldn't figure out how to determine how long B traveled for. I was trying to solve for how long it would take B to travel from one side of the highway to the other when the question was asking for how long it would take for them too pass one another. All this means is that A travels for one more hour than B and that from that distance (770-90 = 680km) we can determine how long it took for them to meet up. When we calculate how many km A traveled, we multiply the time it took A to meet B by its rate and add in the 90 km it traveled before B set off.
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
27 Feb 2014, 17:45
Bunuel wrote:
caro2789 wrote:
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?..
A) 90 B) 130 C) 150 D) 320 E) 450
In one hour A covers 90 kilometers. So, by the time B starts traveling the distance between the trucks is 770-90=680 kilometers.
To cover that distance the trucks need (total distance)/(combined rate)=680/(90+80)=4 hours.
In 4 hours B covered 4*80=320 kilometers and A covered 770-320=450 kilometers.
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
03 May 2014, 00:59
Bunuel wrote:
caro2789 wrote:
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
A) 90 B) 130 C) 150 D) 320 E) 450
]In one hour A covers 90 kilometers. So, by the time B starts traveling the distance between the trucks is 770-90=680 kilometers.
To cover that distance the trucks need (total distance)/(combined rate)=680/(90+80)=4 hours.
In 4 hours B covered 4*80=320 kilometers and A covered 770-320=450 kilometers.
The difference = 450 - 320 = 130 kilometers.
Answer: B.
Bunuel bit confused on the line highlighted above. If we take it conversly ,
In 4 hrs A covered 90*4 = 360 km , B would have covered 770-360 = 410 kms. Am I missing something ? Is the rationale behind your sequencing of taking B first and subtracting for A is the fact that A has a higher speed so it would cover a larger distance ?
My thought process was -
For 1 hr only A was driving @ 90kph so distance covered = 90kph Thus remaining distance = 770-90 = 680kph when both A and B are approaching each other.
Now since time of start is same , distance covered is in ratio of speeds. Let distance covered by A = x , then B = 680-x
x/680-x = 90/80. Solving for x , x= 360 = Distance A drove , 680-x = 320 kph.
Total extra dist travelled by A = 360 + 90 ( of first 1 hr) - 320 = 130 kph
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
03 May 2014, 03:30
Expert's post
himanshujovi wrote:
Bunuel wrote:
caro2789 wrote:
Two heavily loaded sixteen-wheeler transport trucks are 770 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
A) 90 B) 130 C) 150 D) 320 E) 450
]In one hour A covers 90 kilometers. So, by the time B starts traveling the distance between the trucks is 770-90=680 kilometers.
To cover that distance the trucks need (total distance)/(combined rate)=680/(90+80)=4 hours.
In 4 hours B covered 4*80=320 kilometers and A covered 770-320=450 kilometers.
The difference = 450 - 320 = 130 kilometers.
Answer: B.
Bunuel bit confused on the line highlighted above. If we take it conversly ,
In 4 hrs A covered 90*4 = 360 km , B would have covered 770-360 = 410 kms. Am I missing something ? Is the rationale behind your sequencing of taking B first and subtracting for A is the fact that A has a higher speed so it would cover a larger distance ?
My thought process was -
For 1 hr only A was driving @ 90kph so distance covered = 90kph Thus remaining distance = 770-90 = 680kph when both A and B are approaching each other.
Now since time of start is same , distance covered is in ratio of speeds. Let distance covered by A = x , then B = 680-x
x/680-x = 90/80. Solving for x , x= 360 = Distance A drove , 680-x = 320 kph.
Total extra dist travelled by A = 360 + 90 ( of first 1 hr) - 320 = 130 kph
A starts driving 1 hour before B. They meet 4 hours AFTER B starts. If you want to do the other way around it would be: A travels for 4+1=5 hours, thus covers 5*90=450 kilometers, hence B covers 770-450=320 kilometers. The difference = 450-320 = 130 kilometers.
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
03 May 2014, 06:32
Hi Bunuel, first of all thank you for all the material you are posting. It is of great help and value! There is something I don't understand in this question, how come you can add their average speed? What is the reasoning behind that because in the document GMAT club math book, p. 39 it is written that you cannot add the speeds.. Thank you very much
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
04 May 2014, 07:21
1
This post received KUDOS
Expert's post
StephOD wrote:
Hi Bunuel, first of all thank you for all the material you are posting. It is of great help and value! There is something I don't understand in this question, how come you can add their average speed? What is the reasoning behind that because in the document GMAT club math book, p. 39 it is written that you cannot add the speeds.. Thank you very much
We CAN add or subtract rates (speeds) to get relative rate.
For example if two cars are moving toward each other from A to B (AB=100 miles) with 10mph and 15mph respectively, then their relative (combined) rate is 10+15=25mph, and they'll meet in (time)=(distance)/(rate)=100/25=4 hours;
Similarly if car x is 100 miles ahead of car y and they are moving in the same direction with 10mph and 15mph respectively then their relative rate is 15-10=5mph, and y will catch up x in 100/5=20 hours.
Re: Two heavily loaded sixteen-wheeler transport trucks are 770 [#permalink]
28 May 2015, 18:16
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...