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

 It is currently 19 Aug 2018, 00:44

### 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

# Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo

Author Message
TAGS:

### Hide Tags

Intern
Joined: 23 Jul 2017
Posts: 23
Location: United Arab Emirates
Concentration: Finance, Entrepreneurship
WE: Analyst (Commercial Banking)
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

28 Jul 2018, 00:05
1
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:30) correct 31% (03:12) wrong based on 55 sessions

### HideShow timer Statistics

Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

_________________

Open to feedbacks

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 3044
Location: India
GPA: 3.12
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

28 Jul 2018, 00:42
1
delta23 wrote:
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

At 1.2 minute per km, Jack would be traveling $$\frac{60}{1.2}$$ or 50 km in an hour. This is the
speed from Point A to B. At 1 minute per km, Jack would be traveling $$\frac{60}{1}$$ or 60 kmph,
which is the speed from Point B to A.

As he took a minimum of 3 hours to travel the distance and a maximum of 5 hours, the distance
between Points A and B is between 150 and 250 km respectively. Also, he would travel between
the 120 and 180 km respectively on his way back(since the time taken is between 2 and 3 hours)

The only answer option which lies in both the ranges is 160 km(Option B) and is our answer!
_________________

You've got what it takes, but it will take everything you've got

SC Moderator
Joined: 22 May 2016
Posts: 1907
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

28 Jul 2018, 09:37
delta23 wrote:
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

Two possible traps here:
1) min/max distance; and
2) distance is ONE way ("between ... A and B")

Leg 1: from A to B

Rate: $$\frac{1km}{1.2mins}*\frac{50}{50}=\frac{50km}{60mins}=\frac{50km}{1hr}$$

Distance? He drove between 3 and 5 hours
$$\frac{50km}{hr}*3hrs=150$$ kms
$$\frac{50km}{hr}*5hrs=250$$ kms

$$150 \leq D \leq 250$$ kms

Leg 2: from B to A
Rate: $$\frac{1km}{1min}=\frac{60km}{60mins}=\frac{60km}{1hr}$$

Distance? He drove between 2 and 3 hours
$$\frac{60km}{hr}*2hrs=120$$ kms
$$\frac{60km}{hr}*3hrs=180$$ kms

$$120 \leq D \leq 180$$ kms

For Leg 1 the MINIMUM distance is 150 kms, because the minimum time is 3 hours.
3 hours' distance of 150 kms "wins" over Leg 2 minimum of 120 kms. (Distance depends on time traveled, and time is defined strictly for each leg.)*

The distance between A and B cannot be less than 150 km.

For Leg 2, from B to A, the MAXIMUM distance is 180 kms. The distance from B to A (=A to B) cannot be greater than 180 km

He traveled at least 150 km and at most 180 km: $$150< D<180$$ kms

Only 160 kms fits in that range

*Track on time to decide minimum and maximum
Minimum
-- the least time for Leg 1 is 3 hours
-- The least time Leg 2 is 2 hours
-- He cannot travel 2 hours for Leg 1
3 hours (+ corresponding distance at rate in Leg 1) "wins."
Minimum distance is 150

Maximum
-- The most time in Leg 2 is 3 hours
-- The most time in Leg 1 is 5 hours
-- He cannot travel 5 hours during Leg 2
3 hours (+ corresponding distance at rate in Leg 2) "wins."
Maximum distance is 180 km

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

Director
Joined: 09 Mar 2016
Posts: 765
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

28 Jul 2018, 13:25
delta23 wrote:
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

generis pushpitkc is my solution correct ?

IMO word problems are like CRs,
it was a hot summer day and Jonh was looking for a watering hole He embarked on a fantastic adventure through stunning mountain ridges, he was heading like snail (at a speed of 1.2 min per klm ) to turtle lake; en route he took selfies, pics, videos and posted on Instagram

So, when John finally reached the lake and wanted desperately to dive in, he realized that he forgot to take his swimsuit so he drove back home straight away between 2 hours to 3 hours so 60 * 3 = 180, since it says BETWEEN 2 and 3 hrs, distance must be a little less than 180. Hence I picked 160 the distance from A to B cant contradict the distance from B to A cause, he spent less time on his way back home. hence I distance from B to A carries more weight than from A to B.

So basically I used information from B to A, and ignored info from A to B. these word problems love "feeding" us with words

YAY !
_________________

In English I speak with a dictionary, and with people I am shy.

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 3044
Location: India
GPA: 3.12
Re: Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

29 Jul 2018, 22:42
1
dave13 wrote:
delta23 wrote:
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

generis pushpitkc is my solution correct ?

IMO word problems are like CRs,
it was a hot summer day and Jonh was looking for a watering hole He embarked on a fantastic adventure through stunning mountain ridges, he was heading like snail (at a speed of 1.2 min per klm ) to turtle lake; en route he took selfies, pics, videos and posted on Instagram

So, when John finally reached the lake and wanted desperately to dive in, he realized that he forgot to take his swimsuit so he drove back home straight away between 2 hours to 3 hours so 60 * 3 = 180, since it says BETWEEN 2 and 3 hrs, distance must be a little less than 180. Hence I picked 160 the distance from A to B cant contradict the distance from B to A cause, he spent less time on his way back home. hence I distance from B to A carries more weight than from A to B.

So basically I used information from B to A, and ignored info from A to B. these word problems love "feeding" us with words

YAY !

Hey dave13

Yes, your solution is correct here. But, whenever you have a similar
problem with a solution which has 2 values from the answer options,
in those cases, you will need to check the other range as well

For instance, if you had only tried the information from A to B - the
distance could have between 150 and 250(and three of the answer
options - Option B, C, and D could be the answer! So, in order to
eliminate and get one answer, we use the other condition as well.

Hope this helps you!
_________________

You've got what it takes, but it will take everything you've got

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3176
Location: United States (CA)
Re: Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo  [#permalink]

### Show Tags

03 Aug 2018, 15:03
1
delta23 wrote:
Jack drove from Point A to Point B at a rate of 1.2 minutes per kilometer. He then drove back to Point A from Point B, along the same route, at 1 minute per kilometer. If he took anywhere between 3 hours to 5 hours to travel from Point A to Point B and between 2 hours to 3 hours on his way back, what could be the distance between the two points?

A) 140 kilometers

B) 160 kilometers

C) 200 kilometers

D) 220 kilometers

E) 270 kilometers

Let’s first determine Jack’s rate, in km per hour, from Point A to Point B. Since 60/1.2 = 50, Jack drove from Point A to Point B at 50 km per hour. Similarly, his return trip rate is 60/1. Thus, he drove back from Point B to Point A at 60 km per hour.

Let’s use the formula: rate x time = distance. Since it took him between 3 hours to 5 hours to travel from Point A to Point B, the distance between Point A and Point B could be anywhere from 50 x 3 = 150 km to 50 x 5 = 250 km.

Since it took him between 2 hours to 3 hours to travel from Point B to Point A, the distance between Point A and Point B could be anywhere from 60 x 2 = 120 km to 60 x 3 = 180 km.

The only distance in the given choices that fits into both ranges is 160 km.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: Jack drove from Point A to Point B at a rate of 1.2 minutes per kilo &nbs [#permalink] 03 Aug 2018, 15:03
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.