Answer:
Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.
Step-by-step explanation:
Let x represent time spent in running.
We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be
.
We know that distance is equal to speed times time.

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be
.
Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be
.
We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:


Combine like terms:



Divide both sides by
:


Therefore, Eudora spent 0.5 hours in running.
Upon substituting
in expression for time spent in flying jet-packs, we will get:

Therefore, Eudora spent 1.5 hours flying using her jet-pack.