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On New Year's Eve, a limousine driver traveled from Philadelphia to Pi

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Bunuel
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On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   21 Jul 2020, 04:25
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74% (02:25) correct 26% (02:10) wrong based on 139 sessions
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On New Year's Eve, a limousine driver traveled from Philadelphia to Pittsburgh at an average rate of 75 miles per hour. On his return trip to Philadelphia, he encountered a heavy snow storm, which reduced his speed to 45 miles per hour. What was the limousine driver's average speed for the entire trip, in miles per hour?

A. 55
B. 56
C. 58
D. 60
E. 62
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B
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   21 Jul 2020, 08:53
Bunuel wrote:
On New Year's Eve, a limousine driver traveled from Philadelphia to Pittsburgh at an average rate of 75 miles per hour. On his return trip to Philadelphia, he encountered a heavy snow storm, which reduced his speed to 45 miles per hour. What was the limousine driver's average speed for the entire trip, in miles per hour?

A. 55
B. 56
C. 58
D. 60
E. 62


since distance is same
so avg speed = 2 *a*b/( a+b)
=> 2*45*75 /120 ; 56
OPTION B
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   24 Jul 2020, 15:36
Bunuel wrote:
On New Year's Eve, a limousine driver traveled from Philadelphia to Pittsburgh at an average rate of 75 miles per hour. On his return trip to Philadelphia, he encountered a heavy snow storm, which reduced his speed to 45 miles per hour. What was the limousine driver's average speed for the entire trip, in miles per hour?

A. 55
B. 56
C. 58
D. 60
E. 62


Avg. Speed = \(\frac{2*75*45}{75+45}= 56.25 \)

So closest answer 56
Ans- B
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   24 Jul 2020, 21:04
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Bunuel wrote:
On New Year's Eve, a limousine driver traveled from Philadelphia to Pittsburgh at an average rate of 75 miles per hour. On his return trip to Philadelphia, he encountered a heavy snow storm, which reduced his speed to 45 miles per hour. What was the limousine driver's average speed for the entire trip, in miles per hour?

A. 55
B. 56
C. 58
D. 60
E. 62


CONCEPT: \(AVerage-Speed = \frac{Total-Distance}{Total-Time}\)

For same distance travelled forward and backward, \(AVerage-Speed = \frac{2*a*b*}{a+b}\)


a = 75 and b = 45

\(Average Speed = \frac{2*75*45}{75+45} = \frac{150*45}{120} = 56.25\)



Answer: Option B
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   14 Aug 2020, 22:56
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How did you come up with that formula?
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink] New post   15 Aug 2020, 06:39
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Average speed = \(\frac{2*a*b }{ a+b}\)

=> \(\frac{2*75*45}{75+45}\)

=> \(\frac{2*75*45}{120}\)

=> 56.25

Answer B
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Re: On New Year's Eve, a limousine driver traveled from Philadelphia to Pi [#permalink]
15 Aug 2020, 06:39
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