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

The average speed of the plane between Austin and Dallas is 232 kmphSolution:Given that,Total distance traveled by airplane = 290 kmTime taken for travel between Austin and Dallas = 1 hour 15 minuteLet us convert the time taken to hours[tex]\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}[/tex]The average speed is given as:[tex]\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}[/tex]Plugging in the values, we get,[tex]\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232[/tex]Hence the average speed is 232 kmph