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## If Tom goes y miles in x hours

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BTGmoderatorDC Moderator
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#### If Tom goes y miles in x hours

Sat Nov 25, 2017 1:19 am
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

Can some experts show me the best solution in this problem?

OA B

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Jeff@TargetTestPrep GMAT Instructor
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Thu Dec 07, 2017 6:41 am
lheiannie07 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
We are given that Tom goes y miles in x hours, so he has a rate of y miles/x hours. To determine his rate in miles per minute, letâ€™s convert x hours to minutes:

x hours = 60x minutes

Thus, his rate in miles per minute is y/(60x).

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GMATGuruNY GMAT Instructor
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Sat Nov 25, 2017 4:05 am
lheiannie07 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
(y miles)/(x hours) * (1 hour)/(60 minutes) = y/(60x) miles per minute.
In the equation above, the units in red CANCEL OUT, leaving the units in blue.

An alternate approach is to PLUG IN.

How many miles does he go per minute?
Let the rate = 2 miles per minute.

Tom goes y miles in x hours.
(2 miles per minute)(60 minutes) = 120 miles per hour, implying that y=120 miles and x=1 hour.

The question stem asks for the number of miles per minute.
Thus, the green value above is our target: 2 miles per minute.
Now plug y=120 and x=1 into the answers to see which yields our target value of 2.
Only B works:
y/(60x) = 120/(60*1) = 2.

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