When converted to speeds, the list which is in order from slowest to fastest is:
1) 33 miles in 6 minutes
2) 26 miles in 4 minutes
3) 60 miles in 8 minutes
4) 17 miles in 2 minutes
We know that speed is defined as the ratio of distance and time.
Here we are given distance and time in each of the options and we will check the speed of each and arrange them in increasing order.
1)
33 miles in 6 minutes
The speed is:
[tex]\dfrac{33\ \text{miles}}{6\ \text{minutes}}=5.5\ \text{miles\ per\ minute}[/tex]
2)
26 miles in 4 minutes
The speed is:
[tex]\dfrac{26\ \text{miles}}{4\ \text{minutes}}=6.5\ \text{miles\ per\ minute}[/tex]
3)
60 miles in 8 minutes
The speed is:
[tex]\dfrac{60\ \text{miles}}{8\ \text{minutes}}=7.5\ \text{miles\ per\ minute}[/tex]
4)
17 miles in 2 minutes
The speed is:
[tex]\dfrac{17\ \text{miles}}{2\ \text{minutes}}=8.5\ \text{miles\ per\ minute}[/tex]
Since,
[tex]5.5\ \text{miles\ per\ minute}<6.5\ \text{miles\ per\ minute}<7.5\ \text{miles\ per\ minute}<8.5\ \text{miles\ per\ minute}[/tex]
Hence, the increasing order of speed is:
1→2→3→4
