The average speed in miles per hour is 541.6 miles/hr.
Answer: Option C
Explanation:
Average speed is defined as the rate of change in the distance per unit time. So the ratio of distance covered by a vehicle in a specified time gives the average speed at which the vehicle or the object is moving. As in the present case, the air plane has covered 1500 miles in 2 hrs and 46 minute. So the formula for calculating average speed is given below.
[tex]\text {Average speed}=\frac{\text { Distance covered }}{\text { Time taken }}[/tex]
So as the distance covered is 1500 miles and time taken is 2 hrs and 46 min, the average speed will be
[tex]\text {Average speed}=\frac{1500 \mathrm{miles}}{2 \mathrm{hrs} 46 \mathrm{min}}[/tex]
As we need the answer in miles per hour, so no need to convert the units of distance but the units of time should be converted to hours. As [tex]1 \min =\frac{1}{60}[/tex] hr, we get
[tex]\text { Average speed }=\frac{1500 \text { miles }}{\left(2+\left(\frac{46}{60}\right)\right) h r s}=\frac{1500 \text { miles }}{(2+0.77) h r}=\frac{1500 \text { miles }}{2.77 h r}[/tex]
So,
[tex]\text { Average speed }=541.6 \text { miles /hr }[/tex]
