Respuesta :
Answer:
Their average rate of speed is 53 miles per hour.
Step-by-step explanation:
Given : A family on a vacation drives 123 miles in 2 hours then gets stuck in traffic and goes 4 miles in the next 15 minutes. The remaining 191 miles of the trip take [tex]3\frac{3}{4}[/tex] hours.
To find : What was their average rate of speed to the nearest tenth of a mile per hour ?
Solution :
We know, [tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Total distance traveled by family on vacation is
D= 123 miles + 4 miles + 191 miles = 318 miles
Total time taken by family on vacation is
T= 2 hours + 15 minutes + [tex]3\frac{3}{4}[/tex] hours
T= 2 hours + [tex]\frac{15}{60}[/tex] hours + [tex]3\frac{3}{4}[/tex] hours
T= [tex]2+ \frac{1}{4}+ \frac{15}{4}[/tex] hours
T= [tex]\frac{8+1+15}{4}[/tex] hours
T= [tex]\frac{24}{4}[/tex] hours
T= 6 hours
Substitute the value in the formula,
[tex]\text{Speed}=\frac{318}{6}[/tex]
[tex]\text{Speed}=53[/tex] miles per hour.
Therefore, Their average rate of speed is 53 miles per hour.
