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If Tom goes y miles in x hours, how many miles does he go per minute,

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If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 23 Mar 2017, 00:23
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If Tom goes y miles in x hours, how many miles does he go per minute, in terms of x and y?

A. 60x/y
B. y/60x
C. 60y/x
D. x/60y
E. 60xy
[Reveal] Spoiler: OA

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Re: If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 23 Mar 2017, 05:47
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MathRevolution wrote:
If Tom goes y miles in x hours, how many miles does he go per minute, in terms of x and y?

A. 60x/y
B. y/60x
C. 60y/x
D. x/60y
E. 60xy


x hours = 60x MINUTES (since there are 60 minutes in each hour)

So, the DISTANCE Tom travels = y miles, and his TRAVEL TIME = 60x minutes
Speed = distance/time
So, Tom's speed = y/(60x)

Answer: B
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Re: If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 26 Mar 2017, 17:32
==>You get miles:hours=y(miles):x(hours)=y(miles):60x(minutes), and from y:60x=some:1, you get some=y/60x.

The answer is B.
Answer: B
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Re: If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 16 May 2017, 11:14
Speed is y/x means distance traveled in x hour = y miles

distance traveled in minutes = y/x*60 ( 1 hour = 60 min)

option B is correct
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If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 17 May 2017, 02:39
If Tom goes y miles in x hours, how many miles does he go per minute, in terms of x and y?
A. 60x/y
B. y/60x
C. 60y/x
D. x/60y
E. 60xy

Tom goes y miles in = x hours or 60 mins * x
How many miles can Tom go in = 1 min
Required ratio = \(\frac{y}{60*x}\) = \(\frac{y}{60x}\)
Answer B...

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Re: If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 17 May 2017, 03:29
Explanations are already there.
We can also do it by substitution.

Assume x=1, y=30. So Mike covers 30 miles in 1 hour, or in 60 minutes.
In 60 minutes, distance covered = 30 miles
In 1 minute, distance covered = 30/60 = 1/2 or 0.5 miles

So we have to look for an option that gives us answer as '1/2' when we substitute x with 1 and y with 30.
That is only option B.

Hence B

(Please note that in my opinion, using simple algebra as others have done is the best way to solve this question.
I have just given an alternate method)
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Re: If Tom goes y miles in x hours, how many miles does he go per minute, [#permalink]

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New post 19 May 2017, 05:30
MathRevolution wrote:
If Tom goes y miles in x hours, how many miles does he go per minute, in terms of x and y?

A. 60x/y
B. y/60x
C. 60y/x
D. x/60y
E. 60xy


Tom’s rate is (y miles)/(x hours). To determine his rate in terms of miles per minute, let’s convert hours to minutes.

x hours = 60x minutes; thus:

(y miles)/(60x minutes) = y/60x miles per minute

Answer: B
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Re: If Tom goes y miles in x hours, how many miles does he go per minute,   [#permalink] 19 May 2017, 05:30
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