Last visit was: 17 Jul 2024, 05:36 It is currently 17 Jul 2024, 05:36
Close
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
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.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Math Expert
Joined: 02 Sep 2009
Posts: 94371
Own Kudos [?]: 641617 [10]
Given Kudos: 85627
Send PM
Manager
Manager
Joined: 04 Apr 2015
Posts: 84
Own Kudos [?]: 260 [1]
Given Kudos: 3989
Send PM
Retired Moderator
Joined: 26 Nov 2012
Posts: 473
Own Kudos [?]: 497 [1]
Given Kudos: 46
Send PM
Manager
Manager
Joined: 20 Jun 2017
Posts: 66
Own Kudos [?]: 44 [0]
Given Kudos: 42
GMAT 1: 570 Q49 V19
Send PM
Re: How many miles long is the route from Nurich to Greensburg? [#permalink]
msk0657, in case 2 how can we assume that the speed for the remaining (2d/3) = 'x' mph.
speed was 'x' mph for the remaining 2 hrs of the journey in the 1st case.
Current Student
Joined: 02 Jul 2017
Posts: 235
Own Kudos [?]: 295 [3]
Given Kudos: 70
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Send PM
How many miles long is the route from Nurich to Greensburg? [#permalink]
3
Kudos
Find : distance between N and G

Let total distance = D

1) Given Time = 3 hour journey.
Assume speed = x miles/hour for "last" 2 hours . So for "1st" hour speed = x+5 miles /hour

so Distance covered in 1st: 1 hour = x+5
Distance covered in last part: last 2 hours = 2*x =2x

Total distance = D = x+5+2x = 3x+5

No other information. Not sufficient

2) Given : First 1/3rd of journey at 38 miles/ hour
so given for first D/3 distance, speed is 38 miles/ hour

Combining both : 1+2

By 2nd option : Fist 1/3rd of distance has speed 38miles/hour
Means so when Sam started he went by 38 miles/hour for D/3 distance. Or we can say in 1 hour after he started he completed 38 miles.

Now by option 1: In total 3 hour journey... in first 1 hour he completed x+5 miles

Therefore x+5 = 38 => x=33

So Speed for 1st hour = x+5 miles/hour = 38 miles/hour
Speed for remaining 2 hours = x = 33 miles/hour

Total distance covered = 3x+5 = 3*33+5 = 104 miles.


Answer : C

+1 Kudos if you like the solution.

Note : Here catch is "First hour", and "last hour". Generally when we solve such time of question, question confuses us by giving a relation between two variables in 1st option and detail about 1 of the variable in option 2nd. There we don't know which variable is which. But in this question, its explicitly mentioned in option 1 that we are given details about first 1 hour of journey, last 2 hour of journey, total 3 hour journey. And in 2nd option, we get to know speed of "first" 1/3rd of journey. So it all gets adds up.

Originally posted by Nikkb on 31 Aug 2017, 10:37.
Last edited by Nikkb on 04 Sep 2017, 22:51, edited 3 times in total.
Intern
Intern
Joined: 28 Aug 2017
Posts: 6
Own Kudos [?]: 1 [0]
Given Kudos: 9
Send PM
Re: How many miles long is the route from Nurich to Greensburg? [#permalink]
how do we know that 38 miles/ hr is first hour or last hour?
Current Student
Joined: 02 Jul 2017
Posts: 235
Own Kudos [?]: 295 [2]
Given Kudos: 70
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Send PM
Re: How many miles long is the route from Nurich to Greensburg? [#permalink]
2
Kudos
Tushar2278 wrote:
how do we know that 38 miles/ hr is first hour or last hour?



How many miles long is the route from Nurich to Greensburg?

(1) Sam drove the first hour of the three-hour trip from Nurich to Greensburg at 5 miles per hour faster than he drove the final 2 hours.
(2) Sam drove the first 1/3 of the trip from Nurich to Greensburg at 38 miles per hour.


Tushar2278 : Its mentioned that for "first" 1/3 rd of trip speed is 38miles/hour. So while calculating we check the distance and time from start of journey. Check the answer that i posted. I have tried to explain solution properly.
Current Student
Joined: 14 Nov 2016
Posts: 1171
Own Kudos [?]: 20971 [0]
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Send PM
How many miles long is the route from Nurich to Greensburg? [#permalink]
Bunuel wrote:
How many miles long is the route from Nurich to Greensburg?

(1) Sam drove the first hour of the three-hour trip from Nurich to Greensburg at 5 miles per hour faster than he drove the final 2 hours.
(2) Sam drove the first 1/3 of the trip from Nurich to Greensburg at 38 miles per hour.


Distance = rate*time

------- (s + 5) ------------- s --------------
--- (first hour) ----(last 2 hours) -------
-------- (D/3) --------(2D/3) -------------


(1) Let s (miles/hr) = speed of last 2 hr = R2
(s + 5) miles/hr = speed of 1st hr = R1
Distance for 1st hr, D1= R1*T1 = (s + 5)(1)
Distance for last 2 hr, D2 = R2*T2 = (s)(2)

Total distance, D = s + 5 + 2s = 3s + 5

(2) 38 miles per hour. So 1 hour, Sam drove 38 miles for (D/3).

(1) + (2) s + 5 = 38 miles/hr, s = 33 miles/hr

D = 3s + 5 = 3(33) + 5 = 99 + 5 = 104 miles
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 34000
Own Kudos [?]: 851 [0]
Given Kudos: 0
Send PM
Re: How many miles long is the route from Nurich to Greensburg? [#permalink]
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.
GMAT Club Bot
Re: How many miles long is the route from Nurich to Greensburg? [#permalink]
Moderator:
Math Expert
94371 posts