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If the city of Franklin lies along a certain route between the cities

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Bunuel
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If the city of Franklin lies along a certain route between the cities [#permalink] New post   10 Dec 2018, 02:42
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66% (02:07) correct 34% (01:46) wrong based on 72 sessions
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If the city of Franklin lies along a certain route between the cities of Maple Valley and Viewcrest, what is the distance along the route from Franklin to Maple Valley?


(1) Traveling from Viewcrest to Maple Valley at an average rate of 45 m.p.h. takes 20 minutes longer than at an average rate of 50 m.p.h.

(2) Traveling along the route at a constant 25 miles per gallon of gas, a car will use twice as much gas between Maple Valley and Franklin as it will use between Franklin and Viewcrest.
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Archit3110
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If the city of Franklin lies along a certain route between the cities [#permalink] New post   Updated on: 11 Dec 2018, 02:16
Bunuel wrote:
If the city of Franklin lies along a certain route between the cities of Maple Valley and Viewcrest, what is the distance along the route from Franklin to Maple Valley?


(1) Traveling from Viewcrest to Maple Valley at an average rate of 45 m.p.h. takes 20 minutes longer than at an average rate of 50 m.p.h.

(2) Traveling along the route at a constant 25 miles per gallon of gas, a car will use twice as much gas between Maple Valley and Franklin as it will use between Franklin and Viewcrest.



from 1:

let time be t
and 20 mins be 1/3 hrs
since distance is same
45*(t+1/3)= 50*t

solve for t

t= 3 hrs
distance 50* 3=150 miles
and @ 45 mph = 45 * (3+1/3) = 150 miles

distance between frankline and MV not know

insufficient

from 2:
Traveling along the route at a constant 25 miles per gallon of gas, a car will use twice as much gas between Maple Valley and Franklin as it will use between Franklin and Viewcrest
MV..F= 2 F..VC

not sufficient

combining 1 & 2


distance VC to MV 150 and F to MV is to be determined

using relation of 1& 2 it can be answered



IMO C

Originally posted by Archit3110 on 10 Dec 2018, 05:18.
Last edited by Archit3110 on 11 Dec 2018, 02:16, edited 1 time in total.
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Re: If the city of Franklin lies along a certain route between the cities [#permalink] New post   10 Dec 2018, 16:59
M..................F..............V
Statement 1
d/45 - d/50 = 1/3
d is distance between M & V.
D= 150 miles
but we need distance F-M.
Insufficient.

Statement 2
With constant fuel consumption rate, fuel consumed between m-f = 2*fuel consumed between f-v
but we don't know distance.

St. 1+2
Ration of distance is ratio of fuel consumed.
m-f/f-v= 2/1
m-f/m-v= 2/3=> x/150
m-f= 100 miles.
C is correct choice.
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Re: If the city of Franklin lies along a certain route between the cities [#permalink] New post   10 Dec 2018, 20:00
If the city of Franklin lies along a certain route between the cities of Maple Valley and Viewcrest, what is the distance along the route from Franklin to Maple Valley?


(1) Traveling from Viewcrest to Maple Valley at an average rate of 45 m.p.h. takes 20 minutes longer than at an average rate of 50 m.p.h.

(2) Traveling along the route at a constant 25 miles per gallon of gas, a car will use twice as much gas between Maple Valley and Franklin as it will use between Franklin and Viewcrest.

From (1)

D/45=D/50+20 where D is distance VC and MP. NOT SUFFICIENT

From (2)

2*25Y = 25(D-Y) where Y is distance b/n MP and FR NOT SUFFICIENT

I and II together -

From 1, we can find D. Putting D in II we can find Y. Answer (C)
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Re: If the city of Franklin lies along a certain route between [#permalink] New post   23 May 2022, 09:15
Hello from the GMAT Club BumpBot!

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Re: If the city of Franklin lies along a certain route between [#permalink]
23 May 2022, 09:15
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