Kent drives his Mazda 250 miles in the same time that Dave drives his Nissan 225 miles. If Kent averages 5 miles per hour faster than Dave, find their rates.
A) 50 mph for Dave and 40 mph for Kent
B) 45 mph for Dave and 50 mph for Kent
C) 40 mph for Dave and 45 mph for Kent

Question

Quizplus · Accepted Answer

Let's call the speeds of Kent and Dave "K" and "D" respectively. We know that Kent drove 250 miles and Dave drove 225 miles. We also know that they took the same amount of time. Therefore:

250/K = 225/D

We also know that K is 5 mph faster than D, so:

K = D + 5

Substitute D + 5 for K in the first equation:

250/(D+5) = 225/D

Solve for D:

D = 45 mph

Then, we can find K:

K = D + 5 = 50 mph

Therefore, the answer is B, with Dave's rate being 45 mph and Kent's rate being 50 mph.

Kent Drives His Mazda 250 Miles in the Same Time