Respuesta :
Answer:
Therefore his average speed for the entire trip is 8 mph.
Step-by-step explanation:
Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.
6 mph means in 1 h= 60 minutes Luis can covered 6 mile.
In 1 minutes Luis can covered [tex]\frac{6}{60}[/tex] mile.
In 50 minutes Luis can covered [tex]\frac{6\times 50}{60}[/tex] mile
= 5 mile
Again when he come back at home, the speed was 12 mph.
12 mph means in 1 h= 60 minutes Luis can covered 12 mile.
Therefore he traveled 12 mile in 60 minutes
He traveled 1 mile in [tex]\frac{60}{12}[/tex] minutes.
He traveled 5 mile in [tex]\frac{60\times 5}{12}[/tex] minutes
= 25 minutes.
Total distance for the entire trip is =(5+5) mile=10 mile
Total time for the entire trip is = (50+25) minutes = 75 minutes
[tex]\textrm{Average speed}=\frac{\textrm{Total distance}}{\Textrm {total time}}[/tex]
[tex]=\frac{10}{75}[/tex] m/min
[tex]=\frac{10\times 60}{75}[/tex] mph
= 8 mph
Therefore his average speed for the entire trip is 8 mph.
