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 }=(1)/(60) \text { hours }} \\\\ {15 \text { minutes }=(15)/(60)=(1)/(4)} \\\\ {\text { 1 hour } 15 \text { minutes }=1 (1)/(4) \text { hours }=(1 * 4+1)/(4)=(5)/(4) \text { hours }}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mu6005a7jij76zsv1b9njgto5kld6k3v6q.png)
The average speed is given as:
![\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qf5zm74hzphy8ttt95n2o15865f0xbnz0z.png)
Plugging in the values, we get,
![\text { Average speed }=(290)/((5)/(4))=(290)/(5) * 4=232](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b3x8ghjjzc0fjibi8oww3rbb3k83mccpel.png)
Hence the average speed is 232 kmph