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In traveling from city A to city B, John drove for 1 hour at 50 mph an

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Senior RC Moderator
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In traveling from city A to city B, John drove for 1 hour at 50 mph an  [#permalink]

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New post 05 Sep 2017, 10:56
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:57) correct 8% (00:50) wrong based on 37 sessions

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In traveling from city A to city B, John drove for 1 hour at 50 mph and for 3 hoursat 60 mph. What was his average speed for the whole trip?

(A) 50
(B) 53.5
(C) 55
(D) 56
(E) 57.5

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Re: In traveling from city A to city B, John drove for 1 hour at 50 mph an  [#permalink]

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New post 05 Sep 2017, 11:01
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SajjadAhmad wrote:
In traveling from city A to city B, John drove for 1 hour at 50 mph and for 3 hoursat 60 mph. What was his average speed for the whole trip?

(A) 50
(B) 53.5
(C) 55
(D) 56
(E) 57.5


The total distance traveled from City A to City B is 50*1 + 60*3 = 230

Since John drove for 4 hours to travel this distance,
the average speed of the whole trip is \(\frac{Distance}{Time} = \frac{230}{4}\) = 57.5(Option E)
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Re: In traveling from city A to city B, John drove for 1 hour at 50 mph an  [#permalink]

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New post 17 Jan 2019, 03:38
How does this work using the harmonic mean?

\(\frac{1/50+3/60}{4}\)=\(\frac{7/100}{4}\)=57.1
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Re: In traveling from city A to city B, John drove for 1 hour at 50 mph an   [#permalink] 17 Jan 2019, 03:38
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In traveling from city A to city B, John drove for 1 hour at 50 mph an

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