1 second faster was the trip back home .
Explanation:
Here we have , Joseph is driving at an average of 50 miles per hour on a 330-mile road trip. On the way back, Joseph was about to average 60 miles per hour. We need to find How much faster was the trip back home . Let's find out:
- Joseph is driving at an average of 50 miles per hour on a 330-mile road trip.
We know that ,
![Speed = (Distance)/(time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/dvmyncfvgn9zgpgn8j1v09o6hbk0vq3dpk.png)
⇒
![Speed = (Distance)/(time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/dvmyncfvgn9zgpgn8j1v09o6hbk0vq3dpk.png)
⇒
![50 = (330)/(time)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nrmiw26cqkvtbluhkpmsxnjlu40tdxgyw0.png)
⇒
![time = (330)/(50)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jbqgrcrds0di6laj4ynuwq8fqdz5a2c6h8.png)
⇒
![time = 6.6.sec](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nu2vtg442gveeiv9gtr1wg46iw1mjtt401.png)
- On the way back, Joseph was about to average 60 miles per hour.
We know that ,
![Speed = (Distance)/(time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/dvmyncfvgn9zgpgn8j1v09o6hbk0vq3dpk.png)
⇒
![Speed = (Distance)/(time)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/dvmyncfvgn9zgpgn8j1v09o6hbk0vq3dpk.png)
⇒
![60 = (330)/(time)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xk9cp5awwdpvv8asmwvi8y669enxdyyuhk.png)
⇒
![time = (330)/(60)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zlco2agduanu2dtodq9vonwk4tuxzsys0v.png)
⇒
![time = 5.5sec](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2o1f0q6htad9r9hgjrzd1gu7qat058a7cl.png)
So, Time difference in both trips is
.
Therefore, 1 second faster was the trip back home .