Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another 1/2 hour for her to get to work when the train travels 24 mph. How far does Kristen travel to work? A.
65 miles
B.
27 miles
C.
17 miles
D.
16 miles

speed = Distance /Time

10 mph = Distance / 0.5 hours

distance = 10 * 0.5

Distance = 5 miles

speed = Distance /Time

24 mph = Distance /0.5 hours

Distance = 24 * 0.5

Distance = 12 miles

Total distance = 5miles + 12miles

= 17miles

it's answer is C

hope it helps you

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.