John's commute to work is 20kmhr while Sheri's commute is 500mmin. Who has the fastest commute to work in mihrif 1.61km=1mi? A Sheri has the faster commute by 6.2mihr. B Sheri has the faster commute by 16.1mihr. C Sheri has the faster commute by 18.7mihr. D Sheri has the faster commute by 48.3mihr.

Respuesta :

Answer:

A) Sheri has the faster commute by 6.2 miles/hr.

Step-by-step explanation:

Given

John's commute to work [tex]=20\ km/hr[/tex]

Sheri's commute to work  [tex]=500\ m/min[/tex]

[tex]1.61\ km = 1\ mile[/tex]

John's commute to work in miles per hour = [tex]\frac{20\ km}{1 hr}\times \frac{1\ mile}{1.61\ km}= 12.42\ miles/hr[/tex]

Sheri's commute to work in miles per hour =[tex]\frac{500\ m}{1\ min}\times \frac{1\ km}{1000\ m}\times \frac{1\ mile}{1.61\ km}\times \frac{60\ min}{1\ hr}= 18.63\ miles/ hr[/tex]

We can see that Sheri has a faster commute.

Difference between the rates =[tex]18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr[/tex]

Sheri has the faster commute by 6.2 miles/hr.