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Davis travels at a constant speed of 40 miles per hour for t

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Carcass
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Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   20 Jul 2020, 05:10
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Davis travels at a constant speed of 40 miles per hour for two hours and then at a constant speed of 60 miles per hour for one hour.


Quantity A
Quantity B
Davis's average speed for the entire trip
45 miles per hour



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.
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Carcass
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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   20 Jul 2020, 05:11
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   Updated on: 21 Jul 2020, 05:04
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Davis travels at a constant speed of 40 miles per hour for two hours and then at a constant speed of 60 miles per hour for one hour.

40 * 2 = 80
60 * 1 = 60

80+60/Total time = 140/3 = 46.6 Quantity A

Originally posted by Farina on 20 Jul 2020, 06:36.
Last edited by Farina on 21 Jul 2020, 05:04, edited 1 time in total.
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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   20 Jul 2020, 07:21
You have to divide by the total time. 140/3 = 49.

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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   21 Jul 2020, 05:03
Chakolate wrote:
You have to divide by the total time. 140/3 = 49.

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Oh I was taking average. Thanks for correcting me
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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink] New post   25 Jul 2020, 10:23
Carcass wrote:
Davis travels at a constant speed of 40 miles per hour for two hours and then at a constant speed of 60 miles per hour for one hour.


Quantity A
Quantity B
Davis's average speed for the entire trip
45 miles per hour



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.


The formula for average speed is total distance divided by total time (NOT taking the average of the two speeds!). We can use the formula s = d/t to find that the distances are 80 and 60. Average speed = (80+60)/3 = 46.667 mph. Therefore Quantity A > Quantity B.
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Re: Davis travels at a constant speed of 40 miles per hour for t [#permalink]
25 Jul 2020, 10:23
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