21. Higher Order Thinking Amil and Abe

rode in a bike-a-thon. Abe rode for 77 minutes

at a faster rate per mile than Amil. Find Amil's

unit rate. Then explain how you could use it to

find a possible unit rate for Abe.

Amil rode 15 miles

in 55 minutes.

Step-by-step explanation:

If Abe rode for 77mins

Let ta represent Amil time and tb represent Abe time.

Then tb=77mins

The rate if amil is faster than able

Let the speed of mail be Va and that of Abel be Vb

Therefore Va>Vb

Velocity = distance / time

Amil rate Va=d/ta

If Amil rode 15miles

Da = 15miles

ta = 55mins

Since they are on the same track then the rate of Amil is

Va=Da/ta

Va = 15/55

Va = 0.273miles/minutes

Since they are on the same track they will have the same speed Da.

Vb = 15/77

Vb = 0.195miles/minutes

With the calculations above Va is greater then Vb as expected ...