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# A yellow taxi cab went from Downtown to the Beachside and back at an a

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VP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1279

Kudos [?]: 1094 [0], given: 543

Location: Pakistan
GPA: 3.4
A yellow taxi cab went from Downtown to the Beachside and back at an a [#permalink]

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17 Sep 2017, 11:47
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Difficulty:

55% (hard)

Question Stats:

59% (02:27) correct 41% (01:52) wrong based on 49 sessions

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A yellow taxi cab went from Downtown to the Beachside and back at an average speed of 2/3 miles per hour. If the distance from Beachside to Downtown is 1 mile, and the trip back took half as much time as the trip there, what was the average speed of the yellow taxi cab on the way to Beachside?

A 1/3
B 1/2
C 3/4
D 2/3
E 3/2
[Reveal] Spoiler: OA

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Kudos [?]: 1094 [0], given: 543

Math Expert
Joined: 02 Aug 2009
Posts: 5210

Kudos [?]: 5840 [1], given: 117

Re: A yellow taxi cab went from Downtown to the Beachside and back at an a [#permalink]

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17 Sep 2017, 19:08
1
KUDOS
Expert's post
A yellow taxi cab went from Downtown to the Beachside and back at an average speed of 2/3 miles per hour. If the distance from Beachside to Downtown is 1 mile, and the trip back took half as much time as the trip there, what was the average speed of the yellow taxi cab on the way to Beachside?

A 1/3
B 1/2
C 3/4
D 2/3
E 3/2

Hi....

Let the time taken be x while going and therefore$$\frac{x}{2}$$ on return trip.
So total time =x+x/2=3x/2..
Distance=1+1=2..
So average speed=2/(3x/2)=4/3x..
So 4/3x=2/3....x=2

Now on the way to beach side..
D=1
Time taken =2 HR
So speed = 1/2

B
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Kudos [?]: 5840 [1], given: 117

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Re: A yellow taxi cab went from Downtown to the Beachside and back at an a [#permalink]

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22 Sep 2017, 07:56
1
KUDOS
Expert's post
A yellow taxi cab went from Downtown to the Beachside and back at an average speed of 2/3 miles per hour. If the distance from Beachside to Downtown is 1 mile, and the trip back took half as much time as the trip there, what was the average speed of the yellow taxi cab on the way to Beachside?

A 1/3
B 1/2
C 3/4
D 2/3
E 3/2

We can let the time from Downtown to Beachside = t, and thus the time from Beachside to Downtown = t/2.

Since the average speed was ⅔, we have:

average speed = (total distance)/(total time)

2/3 = (1 + 1)/(t + t/2)

2/3 = 2/(3t/2)

3t = 6

t = 2

Since it takes 2 hours to go from Downtown to Beachside, a distance of 1 mile, the speed is 1/2 mph.

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Kudos [?]: 922 [1], given: 3

Re: A yellow taxi cab went from Downtown to the Beachside and back at an a   [#permalink] 22 Sep 2017, 07:56
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