Question

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

Answer 1

Answer:

The average speed of Sebastian is 3 miles per hour.

Solution:

Given, In $1 \frac{1}{2}$ 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 = $4 \frac{1}{2} \text { miles }=\frac{4 \times 2+1}{2} \text { miles }=\frac{9}{2} \text { miles. }$

$\text { And, total time taken }=1 \frac{1}{2} \text { hours }=\frac{1 \times 2+1}{2} \text { hours }=\frac{3}{2} \text { miles. }$

Now, average speed of Sebastian $=\frac{\frac{9}{2}}{\frac{3}{2}}=\frac{9}{2} \times \frac{2}{3}=\frac{9}{3}=3$

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