Answer
It will take 3 hours to get to your cousin's house.
Step-by-step explanation
Firstky, note that Speed is given as
![\text{Speed =}(Dis\tan ce)/(Time)](https://img.qammunity.org/2023/formulas/mathematics/high-school/8v2wx7j5h0zc30tpznnq5vt0a2pvbs0qrc.png)
For this question, we are told that the distance to your cousin's house is 150 miles.
The speed is an average rate of 50 miles per hour.
We are then asked to calculate how long it will take to get to your cousin's house.
Speed = 50 miles/hour
Distance = 150 miles
Time = ?
![\begin{gathered} \text{Speed = }(Dis\tan ce)/(Time) \\ 50=(150)/(Time) \\ \text{Cross multiply} \\ 50* Time=150 \\ \text{Divide both sides by 50} \\ (50* Time)/(50)=(150)/(50) \\ \text{Time = 3 hours} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6hae5oyslpfq2g89904v97338l3o503b2s.png)
Hope this Helps!!!