Question

An airplane travels 290 km between Austin and Dallas in 1 h 15 min. What is it’s average speed?

Answer 1

The average speed of the plane between Austin and Dallas is 232 kmph

Solution:

Given that,

Total distance traveled by airplane = 290 km

Time taken for travel between Austin and Dallas = 1 hour 15 minute

Let us convert the time taken to hours

$\begin{array}{l}{1 \text { minute }=\frac{1}{60} \text { hours }} \\\\ {15 \text { minutes }=\frac{15}{60}=\frac{1}{4}} \\\\ {\text { 1 hour } 15 \text { minutes }=1 \frac{1}{4} \text { hours }=\frac{1 \times 4+1}{4}=\frac{5}{4} \text { hours }}\end{array}$

The average speed is given as:

$\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}$

Plugging in the values, we get,

$\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232$

Hence the average speed is 232 kmph