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12 Nov 2015, 02:05
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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
(A) d
(B) 1/3*d
(C) 1/2*d
(D) 3/4*d
(E) 3/2*d
12 Nov 2015, 02:39
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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
Answer 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
2nd hour , distance travelled by car = d/2 km
Average speed = Total distance/Time
= (d + d/2)/2 = 3/4 d
Answer 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
12 Nov 2015, 02:51
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1st half =d
2nd half=d/2
total distance 3d/2
avg rate =3d/2/2 =3d/4
2nd half=d/2
total distance 3d/2
avg rate =3d/2/2 =3d/4
