Biking at 12 mph, it takes kristen hour to reach the train station to go to work. kristen then takes the train to work, and it takes another hour for her to get to work when the train travels 24 mph. how far does kristen travel to work?

36 mi

Step-by-step explanation:

Remember that distance = rate times time.

Thus, while biking at 12 mph for 1 hr, Kristen covers

(12 mph)(1 hr), or 12 miles;

While riding the train at 24 mph for 1 hr, she covers 24 mi.

Adding these two results together:  The total distance from home to work is 12 mi + 24 mi = 36 mi

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.