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David drove to work at an average (arithmetic mean) speed of

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by BTGmoderatorDC » Mon Mar 04, 2019 5:37 pm
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David drove to work at an average (arithmetic mean) speed of 45 miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?

A. 48
B. 256/5
C. 360/7
D. 105/2
E. 160/3

OA C

Source: Magoosh
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by Scott@TargetTestPrep » Thu Mar 07, 2019 6:42 am
BTGmoderatorDC wrote:David drove to work at an average (arithmetic mean) speed of 45 miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?

A. 48
B. 256/5
C. 360/7
D. 105/2
E. 160/3

OA C

Source: Magoosh
We can let d = the distance each way and create the equation for time:

d/45 + d/60 = 2

Multiplying by 180, we have:

4d + 3d = 360

7d = 360

d = 360/7

Answer: C

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by swerve » Thu Mar 07, 2019 9:31 am
Time = Distance / Speed

Assuming distance be x

\(\frac{x}{45}+\frac{x}{60}=2\) hours

\(\frac{7x}{180}=2\,\,\Rightarrow\,\, x = \frac{360}{7}\)

Hence, __C__ is the correct option.
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