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

Question

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.

Archit3110 · Answer

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

gvij2017 · Answer

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.

krish76 · Answer

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)

bumpbot · Answer

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

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

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