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Mrs. Jordan visited a certain city. She travelled the entire distance

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Director
Joined: 18 Feb 2019
Posts: 603
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Mrs. Jordan visited a certain city. She travelled the entire distance  [#permalink]

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01 Mar 2019, 00:52
2
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:23) correct 29% (02:29) wrong based on 35 sessions

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Mrs. Jordan visited a certain city. She traveled the entire distance at an average speed of 45km per hour. If 2/3 of the total distance was traveled at an average speed of 50km per hour, what was the average speed for the remaining distance?

A. 12.5km/hr
B. 25km/hr
C. 37.5km/hr
D. 40km/hr
E. 55km/hr
Manager
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: Mrs. Jordan visited a certain city. She travelled the entire distance  [#permalink]

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01 Mar 2019, 03:10
2
kiran120680 wrote:
Mrs. Jordan visited a certain city. She traveled the entire distance at an average speed of 45km per hour. If 2/3 of the total distance was traveled at an average speed of 50km per hour, what was the average speed for the remaining distance?

A. 12.5km/hr
B. 25km/hr
C. 37.5km/hr
D. 40km/hr
E. 55km/hr

S = $$\frac{D}{T}$$
=> 45 = $$\frac{x}{(T1+T2)}$$
=> T1+T2 = $$\frac{x}{45}$$

Now from the question we kow:
T1= ((2x/3)/50) = x/75
&
T2 = ((x/3)/y) = x/3y

=> (x/75) + (x/3y) = (x/45)
=> (1/3y) = (1/45) - (1/75)

Solving for y we get
y = 37.5

Hence C is the correct answer.
Re: Mrs. Jordan visited a certain city. She travelled the entire distance   [#permalink] 01 Mar 2019, 03:10
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