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If a man travels f miles an hour for t hours and r miles an hour for s

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Bunuel
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If a man travels f miles an hour for t hours and r miles an hour for s [#permalink] New post   10 Jan 2016, 09:02
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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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D
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Re: If a man travels f miles an hour for t hours and r miles an hour for s [#permalink] New post   10 Jan 2016, 09:28
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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 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)

Answer D
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If a man travels f miles an hour for t hours and r miles an hour for s [#permalink] New post   Updated on: 10 Jan 2016, 11:46
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
Answer D
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.
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Re: If a man travels f miles an hour for t hours and r miles an hour for s [#permalink] New post   10 Jan 2016, 11:10
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)
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Re: If a man travels f miles an hour for t hours and r miles an hour for s [#permalink] New post   14 Dec 2019, 18:37
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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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