Question

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.

Answer 1

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

Explanation:

Given

John's commute to work
`=20\ km/hr`

Sheri's commute to work
`=500\ m/min`

`1.61\ km = 1\ mile`

John's commute to work in miles per hour =
`(20\ km)/(1 hr)* (1\ mile)/(1.61\ km)= 12.42\ miles/hr`

Sheri's commute to work in miles per hour =
`(500\ m)/(1\ min)* (1\ km)/(1000\ m)* (1\ mile)/(1.61\ km)* (60\ min)/(1\ hr)= 18.63\ miles/ hr`

We can see that Sheri has a faster commute.

Difference between the rates =
`18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr`

∴ Sheri has the faster commute by 6.2 miles/hr.