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

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.