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D
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Difficulty:
35%
(medium)
Question Stats:
71% (01:50) correct
29%
(01:50)
wrong
based on 314
sessions
History
Date
Time
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David travels one-third of the distance from LA to SF at a speed of 40 miles an hour and the balance at a speed of 80 miles an hour. What is the average speed of David's travel from LA to SF?
A. 66.67 miles per hour
B. 48 miles per hour
C. 64 miles per hour
D. 60 miles per hour
E. 53.33 miles per hour
A. 66.67 miles per hour
B. 48 miles per hour
C. 64 miles per hour
D. 60 miles per hour
E. 53.33 miles per hour
08 Apr 2014, 09:06
Kudos
Bookmarks
Safal
(Average speed) = (total distance)/(total time).
Say the distance from LA to SF is d miles, then (Average speed) = (total distance)/(total time) = \(\frac{d}{\frac{(\frac{d}{3})}{40}+\frac{(\frac{2d}{3})}{80}}=\frac{d}{\frac{d}{120}+\frac{d}{120}}=60\) miles per hour.
Answer: D.
P.S. Please name the topics properly. Check rule 3 here: rules-for-posting-please-read-this-before-posting-133935.html
Also, please tag the topics properly: this is a distance/rate problem, not arithmetic.
Thank you.
09 Apr 2014, 01:37
Kudos
Bookmarks
Lets say he travels total 3 Miles........ (1)
So, speed for 1 mile = 40
Speed for next 2 miles = 80
Total time taken \(=\frac{1}{40} + \frac{2}{80} = \frac{2}{40}\)........ (2)
\(Average = \frac{Total distance}{Total time}\)
\(= 3 * \frac{40}{2}\)
= 60
Answer = D
So, speed for 1 mile = 40
Speed for next 2 miles = 80
Total time taken \(=\frac{1}{40} + \frac{2}{80} = \frac{2}{40}\)........ (2)
\(Average = \frac{Total distance}{Total time}\)
\(= 3 * \frac{40}{2}\)
= 60
Answer = D
