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

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by VJesus12 » Sat Feb 17, 2018 7:41 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

The OA is B.

What is the equation that helps me to solve this PS question? Can you help me experts? <i class="em em-disappointed"></i>
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by EconomistGMATTutor » Sat Feb 17, 2018 8:30 am
VJesus12 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

The OA is B.

What is the equation that helps me to solve this PS question? Can you help me experts? <i class="em em-disappointed"></i>
Hi Vjesus12.

Let's take a look at your question.

If Tom goes y miles in x hours, it implies that his speed is $$\frac{y}{x}\ \frac{\text{miles}}{\text{hours}}.$$ Now, we want the speed per in minutes. Hence, we have to divide by 60 (since 1 hour=60 minutes).

Therefore, Tom does $$\frac{\frac{y}{x}}{60}=\frac{y}{60x}\ \frac{\text{miles}}{\text{minutes}}.$$ This is why the correct answer is the option B.

I hope this explanation may help you.

Feel free to ask me again if you have a doubt.

Regards.
GMAT Prep From The Economist
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by Brent@GMATPrepNow » Sat Feb 17, 2018 9:38 am
VJesus12 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

Cheers,
Brent
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by Scott@TargetTestPrep » Sun Jun 23, 2019 10:24 am
VJesus12 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, let's convert x hours to minutes:

x hours = 60x minutes

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

Answer: B

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