Answer :
Answer:
74 mph
Step-by-step explanation:
we know that
To find out the average speed, divide the total distance by the total time
Let
s ----> the speed in mph
d ---> the distance in miles
t ----> the time in hours
so
[tex]s=\frac{d}{t}[/tex]
step 1
Find the total time
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm
so
from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours
from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours
The total time is
[tex]5.5+11.75=17.25\ hours[/tex]
step 2
Find the average speed
[tex]s=\frac{d}{t}[/tex]
we have
[tex]d=1,276.5\ mi[/tex]
[tex]t=17.25\ hours[/tex]
[tex]s=\frac{1,276.5}{17.25}= 74\ mph[/tex]