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The average speed when d miles is driven in h hours
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07 Dec 2020, 10:30
07 Dec 2020, 10:30
Expert Reply
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Question Stats:
93% (00:35) correct
6% (01:02) wrong based on 62 sessions
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\(d \neq 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The average speed when d miles is driven in h hours |
The average speed when 9d miles is driven in 8h hours |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The average speed when d miles is driven in h hours
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07 Dec 2020, 10:36
07 Dec 2020, 10:36
2
Carcass wrote:
\(d \neq 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The average speed when d miles is driven in h hours |
The average speed when 9d miles is driven in 8h hours |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Speed = distance/time
We get:
QUANTITY A: \(\frac{d}{h}\)
QUANTITY B: \(\frac{9d}{8h}\)
Since h must be POSITIVE, we can safely multiply both quantities by h to get:
QUANTITY A: \(d\)
QUANTITY B: \(\frac{9d}{8}\)
Since d must be POSITIVE, we can safely divide both quantities by d to get:
QUANTITY A: \(1\)
QUANTITY B: \(\frac{9}{8}\)
Since 9/8 > 1, the correct answer is B
Re: The average speed when d miles is driven in h hours
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07 Dec 2020, 10:48
07 Dec 2020, 10:48
1
A really great site with so many interesting questions!
