What is true of their velocities?
Roger and Natalie travel in similar cars. Roger's car drives the two miles to school in 7.5 minutes. Natalie drives the same distance in the opposite direction but in only 6.5 minutes.
A. Roger and Natalie have velocities with the same magnitude only. B. Natalie's velocity is greater in magnitude than Roger's velocity. C. Roger's velocity is greater in magnitude than Natalie s velocity. D. Roger and Natalie have velocities with the same direction and magnitude.
The answer is that Natalie’s velocity is greater in magnitude than Roger’s velocity, or answer B. This is rather easy to infer from the information given. They are both travelling two miles. Assuming that they are both obeying traffic laws, Roger gets there in seven and a half minutes, while Natalie only takes six and a half minutes.
This could also be due to Roger travelling uphill two miles and Natalie going downhill for two miles - since the question specifies that they are travelling in opposite directions. Whatever the reason, Natalie is going faster. This means that her velocity is greater when in this particular situation.
Perhaps in other situations, Roger has a greater velocity. We simply know enough to only glean that Natalie has a greater velocity in this situation.