Question

When converted to speeds, which list is in order from slowest to fastest?

17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes

Answer 1

speed = distance / time

17 miles in 2 minutes ....17/2 = 8.5 miles per minute
26 miles in 4 minutes.....26/4 = 6.5 miles per minute
33 miles in 6 minutes.....33/6 = 5.5 miles per minute
60 miles in 8 minutes.....60/8 = 7.5 miles per minute

slowest to fastest :
(1) 33 miles in 6 minutes
(2) 26 miles in 4 minutes
(3) 60 miles in 8 minutes
(4) 17 miles in 2 minutes
I believe that is answer C

Answer 2

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

Explanation:

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:

`\frac{33\ \text{miles}}{6\ \text{minutes}}=5.5\ \text{miles\ per\ minute}`

2)

26 miles in 4 minutes

The speed is:

`\frac{26\ \text{miles}}{4\ \text{minutes}}=6.5\ \text{miles\ per\ minute}`

3)

60 miles in 8 minutes

The speed is:

`\frac{60\ \text{miles}}{8\ \text{minutes}}=7.5\ \text{miles\ per\ minute}`

4)

17 miles in 2 minutes

The speed is:

`\frac{17\ \text{miles}}{2\ \text{minutes}}=8.5\ \text{miles\ per\ minute}`

Since,

`5.5\ \text{miles\ per\ minute}<6.5\ \text{miles\ per\ minute}<7.5\ \text{miles\ per\ minute}<8.5\ \text{miles\ per\ minute}`

Hence, the increasing order of speed is:

1→2→3→4