Question

In 1 1/2 hours, Sebastian can walk 4 1/2 miles.
What is his average speed in hours per mile?

Answer 1

The average speed of Sebastian is 3 miles per hour.

Solution:

Given, In
`1 (1)/(2)` hours, Sebastian can walk 4 1/2 miles.

we have to find What is his average speed in hours per mile

We know that, average speed
`=\frac{\text {total distance walked}}{\text {total time taken}}`

In our problem, total distance travelled =
`4 (1)/(2) \text { miles }=(4 * 2+1)/(2) \text { miles }=(9)/(2) \text { miles. }`

`\text { And, total time taken }=1 (1)/(2) \text { hours }=(1 * 2+1)/(2) \text { hours }=(3)/(2) \text { miles. }`

Now, average speed of Sebastian
`=((9)/(2))/((3)/(2))=(9)/(2) * (2)/(3)=(9)/(3)=3`

Hence, the average speed of Sebastian is 3 miles per hour.