Question

Sandra Runs at a rate of 8 miles in 45 minutes. how does her unit rate compare to Terrance and Jessie (Terrance 6 miles per half an hour jesse 2 miles every 15 minutes)

Answer 1

Sandra bikes 1 mile in 5.6 Minutes
Terrance bikes 1mile in 5 minutes
Jesses bikes 1 mile in 15 minutes

Sandra to Terrance - .6 minutes
Sandra to jesse - 9.4 minutes
Terrance to Jesse - 10 minutes

Answer 2

Her unit rate is less than that of Terrance but more than that of Jesse.

Explanation:

Since,

`\text{Rate of travelling}=\frac{\text{ Distance}}{\text{Time}}`

For sandra,

Distance = 8 miles, time = 45 minutes =
`(45)/(60)` = 0.75 hours,

( ∵ 1 hour = 60 minutes )

Thus, the unit rate of Sandra =
`(8)/(0.75)\approx 10.67\text{ miles per hour}`

For Terrance,

Distance = 6 miles, time =
`(1)/(2)` hour = 0.5 hour,

Thus, the unit rate of Terrance =
`(6)/(0.5)\approx 12\text{ miles per hour}`

For Jesse,

Distance = 2 miles, time = 15 minutes =
`(15)/(60)` hour = 0.25 hour,

Thus, the unit rate of Jesse =
`(2)/(0.25)\approx 8\text{ miles per hour}`

Hence, Sandra's unit rate is less than that of Terrance but more than that of Jesse.