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# In the first hour of a two-hour trip, a car traveled d kilometers, and

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Math Expert
Joined: 02 Sep 2009
Posts: 59721
In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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12 Nov 2015, 02:05
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Difficulty:

15% (low)

Question Stats:

78% (01:26) correct 22% (01:41) wrong based on 174 sessions

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In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?

(A) d
(B) 1/3*d
(C) 1/2*d
(D) 3/4*d
(E) 3/2*d

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In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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12 Nov 2015, 02:39
1st hour , distance travelled by car = d km
2nd hour , distance travelled by car = d/2 km

Average speed = Total distance/Time
= (d + d/2)/2 = 3/4 d

We can also solve this using weighted average concept .
As the time for both the legs is same , the speed will be the average of the speed for first hour and second hour .
That is average of d and d/2 = 3/4 d
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Re: In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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12 Nov 2015, 02:51
1st half =d
2nd half=d/2
total distance 3d/2
avg rate =3d/2/2 =3d/4
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Re: In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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12 Nov 2015, 06:49
1
Bunuel wrote:
In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?

(A) d
(B) 1/3*d
(C) 1/2*d
(D) 3/4*d
(E) 3/2*d

Let, Car travelled (d=)2 km in first hour
i.e. Car travelled (1/2)*2=1 km in Second hour

Total Distance Travelled = 2+1 = 3
Total Time = 2 Hours

Average Speed = Total Distance / Total Time = 3/2 --------[for d=2]

Check Options

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Re: In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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14 Nov 2015, 03:02
Bunuel wrote:
In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?

(A) d
(B) 1/3*d
(C) 1/2*d
(D) 3/4*d
(E) 3/2*d

Solution:

Lets look at the information given in the question...

Total time travelled = 2 hrs
Distance travelled first hour = d
Distance travelled second hour = d/2

The question is asking for the avg speed at which the car travels for 2 hrs

We know that avg speed = total distance/total time

Lets place the information given in the question to the formula above = (d+d/2)/2
= 3/4*d

We find that option D is the answer as it gives the same expression as found in our calculation above. Answer option D.
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Re: In the first hour of a two-hour trip, a car traveled d kilometers, and  [#permalink]

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07 Apr 2019, 14:24
1st half distance =d
2nd half=d/2
total distance =3d/2
avg =3d/2/2 =3d/4
Re: In the first hour of a two-hour trip, a car traveled d kilometers, and   [#permalink] 07 Apr 2019, 14:24
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