Becky ran 4/6 mile in 8 minutes, Sarah ran 3/8 mile in 3 minutes. Who ran farther in 1 minute

Question

Becky ran 4/6 mile in 8 minutes, Sarah ran 3/8 mile in 3 minutes. Who ran farther in 1 minute

Answer 1

4/6 divided by 8 = 4/6 divided by 8/1 = 4/6 * 1/8 = 4/48 = 1/12 <---- 1/12 mile per minute

or 12 minutes per mile

or 5 miles per hour

3/8 divided by 3 = 3/8 divided by 3/1 = 3/8 * 1/3 = 3/24 = 1/8 <--- 1/8 mile per minute

or 8 minutes per mile

or 60/8 miles per hour =

7.5 miles per hour

Sarah is faster, as 1/8 > 1/12.

In fact she runs 1/8 - 1/12 = 3/24 - 2/24 = 1/24 mile farther

in one minute than Becky.