Answer:
3 hours
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s ----> the speed in mph
d -----> the distance in miles
t ----> the time in hours
x ----> distance traveled by Daisy to the meeting point
60-x ----> distance traveled by Sally to the meeting point
so
[tex]s=\frac{d}{t}[/tex]
Solve for d
[tex]d=st[/tex]
Distance traveled by Daisy to the meeting point
[tex]d=st[/tex]
we have
[tex]d=x\ mi\\s=12\ mph[/tex]
substitute
[tex]x=12t[/tex] ----> equation A
Distance traveled by Sally to the meeting point
[tex]d=st[/tex]
we have
[tex]d=(60-x)\ mi\\s=8\ mph[/tex]
substitute
[tex]60-x=8t[/tex] ----> equation B
substitute equation A in equation B
[tex]60-12t=8t[/tex]
solve for t
[tex]12t+8t=60\\20t=60\\t=3\ hours[/tex]
