Answer : The correct option is, (A) 7 hours 42 minutes
Explanation :
Average speed : It is defined as the ratio total distance to total time.
Formula used :
![\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/q7exbkcn2p9e7143oufftt08m81wswrzwj.png)
As per question,
Total distance traveled = 492.8 mile
Average speed = 64 mile/hour
Now put all the given values in the above formula, we get:
![\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/q7exbkcn2p9e7143oufftt08m81wswrzwj.png)
![64mile/hour=\frac{492.8mile}{\text{Total time}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/rpqcqdfqb6jzbd522la9biw842o9vw2ule.png)
![\text{Total time}=(492.8mile)/(64mile/hour)](https://img.qammunity.org/2020/formulas/mathematics/high-school/f61pusye9nk8hgj0fk9b1cuokkyqzapksy.png)
![\text{Total time}=7.7hour](https://img.qammunity.org/2020/formulas/mathematics/high-school/soz910vfu51mkcexnlh8izbmxl0lrtrwhm.png)
As we know that, 1 hour has 60 minutes.
7.7 hours
= 7 hr + 0.7 hr
= 7 hr + 0.7 × 60 min
= 7 hr + 42 min
![\text{Total time}=7\text{ hour }42\text{ minute}](https://img.qammunity.org/2020/formulas/mathematics/high-school/e0zh0gkjq5tn5bfq7ocoe5cq1tymqcsiuy.png)
Therefore, the the take them to reach their destination will be, 7 hours 42 minutes.