Answer:
v = 12 km/h
Step-by-step explanation:
To find how much she should increase the speed first we need to find the distance traveled:
[tex] d = v*t [/tex]
Where:
d: is the distance traveled =?
v: is the velocity = 8 km/h
t: is the time = 15 min (9:00 to 9:15)
[tex]d = v*t = 8 km/h*15 min*\frac{1 h}{60 min} = 2 km[/tex]
Now, we can find the speed:
[tex] v_{f} = \frac{d}{t} = \frac{2 km}{10 min*\frac{1 h}{60 min}} = 12 km/h [/tex]
Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.
I hope it helps you!