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Bob drives at an average rate of 50 mph from Berkeley to Los

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by BTGmoderatorDC » Sun Sep 16, 2018 12:31 am
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Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, a distance of 350 miles. How long does it take him to complete the trip?

(A) 4 hrs

(B) 5 hrs

(C) 7 hrs

(D) 10 hrs

(E) 12 hrs

OA C

Source: Magoosh
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by Jay@ManhattanReview » Sun Sep 16, 2018 3:42 am
BTGmoderatorDC wrote:Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, a distance of 350 miles. How long does it take him to complete the trip?

(A) 4 hrs

(B) 5 hrs

(C) 7 hrs

(D) 10 hrs

(E) 12 hrs

OA C

Source: Magoosh
Distance = 350 miles
Average speed = 50 mph

Time taken = Distance/Speed

Total time taken = 350/50 = 7 hrs

The correct answer: C

Hope this helps!

-Jay
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by fskilnik@GMATH » Sun Sep 16, 2018 7:01 am
BTGmoderatorDC wrote:Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, a distance of 350 miles. How long does it take him to complete the trip?

(A) 4 hrs

(B) 5 hrs

(C) 7 hrs

(D) 10 hrs

(E) 12 hrs

Source: Magoosh
\[?\,\, = \,\,350\,\,{\text{miles}}\,\,\,\left( {\frac{{1\,\,\,{\text{h}}}}{{50\,\,{\text{miles}}}}\,\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\, = 7\,\,{\text{h}}\]
Obs.: arrows indicate licit converter.

Trivial application of UNITS CONTROL, one of the most powerful tools of our course!


This solution follows the notations and rationale taught in the GMATH method.

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Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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by Brent@GMATPrepNow » Sun Sep 16, 2018 7:15 am
BTGmoderatorDC wrote:Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, a distance of 350 miles. How long does it take him to complete the trip?

(A) 4 hrs

(B) 5 hrs

(C) 7 hrs

(D) 10 hrs

(E) 12 hrs

OA C

Source: Magoosh
As the others have shown, the fast approach is to recognize that: travel time = distance/speed = 350/50 = 7 hours

However, we could also (if necessary) solve this by applying some common sense.

Bob's speed is 50 miles per hour.
In other words, for every 1 hour that elapses, Bob travels 50 miles

So, after 1 hour of traveling, Bob has traveled 50 miles
After 2 hours of traveling, Bob has traveled 100 miles
After 3 hours of traveling, Bob has traveled 150 miles
After 4 hours of traveling, Bob has traveled 200 miles
After 5 hours of traveling, Bob has traveled 250 miles
After 6 hours of traveling, Bob has traveled 300 miles
After 7 hours of traveling, Bob has traveled 350 miles

Answer: C

Cheers,
Brent
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by Scott@TargetTestPrep » Tue Sep 18, 2018 5:54 pm
BTGmoderatorDC wrote:Bob drives at an average rate of 50 mph from Berkeley to Los Angeles, a distance of 350 miles. How long does it take him to complete the trip?

(A) 4 hrs

(B) 5 hrs

(C) 7 hrs

(D) 10 hrs

(E) 12 hrs

We can use the formula:

Average = total distance/total time

50 = 350/t

50t = 350

t = 7 hours

Answer: C

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