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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If a man travels f miles an hour for t hours and r miles an hour for s

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Math Expert V
Joined: 02 Sep 2009
Posts: 60605
If a man travels f miles an hour for t hours and r miles an hour for s  [#permalink]

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Difficulty:   5% (low)

Question Stats: 89% (01:16) correct 11% (01:38) wrong based on 57 sessions

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If a man travels f miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?

A. ft + rs
B. (ft + rs)/2
C. t/f + s/r
D. (ft + rs)/(t + s)
E. (ft + rs)/(t - s)

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Manager  Joined: 02 Jun 2015
Posts: 62
Location: United States
Concentration: Strategy, Human Resources
WE: Engineering (Manufacturing)
Re: If a man travels f miles an hour for t hours and r miles an hour for s  [#permalink]

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1
Bunuel wrote:
If a man travels f miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?

A. ft + rs
B. (ft + rs)/2
C. t/f + s/r
D. (ft + rs)/(t + s)
E. (ft + rs)/(t + s)

Average Speed = Total Distance /Total Time Taken

Total Distance travelled in t hours = ft
Total Distance travelled in s hours = rs

Total Time taken = t+s

Therefore , Average Speed = (ft+ts)/(t+s)

Director  P
Joined: 21 May 2013
Posts: 632
If a man travels f miles an hour for t hours and r miles an hour for s  [#permalink]

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Bunuel wrote:
If a man travels f miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?

A. ft + rs
B. (ft + rs)/2
C. t/f + s/r
D. (ft + rs)/(t + s)
E. (ft + rs)/(t + s)

Avg speed=Total Distance traveled/total time taken=(ft+rs)/t+s
Bunuel-Answer D and E are the same-could you please make the correction?

Originally posted by KS15 on 10 Jan 2016, 10:04.
Last edited by KS15 on 10 Jan 2016, 11:46, edited 1 time in total.
Intern  Joined: 02 Oct 2015
Posts: 25
Location: Nigeria
Schools: HEC '18, IE '19, ESADE '18
GPA: 3.2
Re: If a man travels f miles an hour for t hours and r miles an hour for s  [#permalink]

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Bunuel wrote:
If a man travels f miles an hour for t hours and r miles an hour for s hours, what is his average rate in miles per hour for the entire distance traveled?

A. ft + rs
B. (ft + rs)/2
C. t/f + s/r
D. (ft + rs)/(t + s)
E. (ft + rs)/(t - s)

Average rate in miles per second = Total distance traveled/Total time taken

Total distance traveled = f*t + r*s = ft + rs
Total time taken for this distance = t + s
Therefore,average rate in miles per hour = (ft + rs)/( t +s)
Non-Human User Joined: 09 Sep 2013
Posts: 14001
Re: If a man travels f miles an hour for t hours and r miles an hour for s  [#permalink]

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_________________ Re: If a man travels f miles an hour for t hours and r miles an hour for s   [#permalink] 14 Dec 2019, 18:37
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