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. what is true of their velocities?

Natalie's velocity is greater in magnitude than Roger's velocity.

Step-by-step explanation:

Roger and Natalie both are travelling two miles.  

The cars by which they both of them travel are also similar.

Assuming that they are both obeying traffic laws :  

Time taken by Roger to travel 2 miles = 7.5 minutes

Time take by Natalie to travel 2 miles = 6.5 minutes

Now, since the time taken by Natalie to cover 2 miles is less than that of Roger so, The velocity of Natalie is greater than that of Roger.

Also, it is given that Roger and Natalie are traveling in opposite directions so we have to also consider the magnitude in this case.

Because it might be possible that Roger is travelling 2 miles uphill then in that case the velocity of Roger will be greater than that of Natalie.

Hence, Natalie's velocity is greater in magnitude than Roger's velocity.

Natalie’s velocity is greater in magnitude than Roger’s velocity.

i took the test and it was right :)

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.