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>
If Tom goes y miles in x hours, how many miles does he go
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Hi Vjesus12.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>
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.
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x hours = 60x MINUTES (since there are 60 minutes in each hour)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
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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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: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
Thus, his rate, in miles per minute, is y/(60x).
Answer: B
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