Marcy drove 260 miles in 4 hours. Katie drove 408 miles in 6 hours. Determine the unit rato of each driver. who is driving at q faster speed?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given: 

Marcy drove 260 miles in 4 hours

 Katie drove 408 miles in 6 hours

Determine the unit ratio of each driver, and whose driving at a faster speed.

Solution:

In order to determine the unit ratio, and which driver is driving faster, we use solve the velocity of each driver.

v = d/t

Marcy's Velocity

Substitute the given values of the distance and the time.

v = 260 miles /4 hours

v = 65 mile/ hour

Katie's velocity

v= 408 miles/ 6 hours

v =68 mile/ hour

Now we can determine the ratio between the two drivers by comparing their velocities per hour.

Ratio between Marcy's velocity and Katie's velocity = 65:68

Based on the answers, it is clear that Katie is driving faster than Marcy. Since Katie's speed is 68 mi/h while Marcy's speed is 65 mi/h