Eudora ran from her home to her secret laboratory at an average speed of 12km/h , t. She then took one of her jetpacks and flew to her school at an average speed of 76 km/h . Eudora traveled a total distance of 120 kilometers, and the entire trip took 2 hours.
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Step-by-step explanation:
She ran for RR hours at 12 km/h. She jetpacked for JJ hours at 76 km/h.
We are told that J+R=2J+R=2 (so J=2−RJ=2−R) and that 12R+76J=12012R+76J=120.
By substituting for JJ we get:
12R+76(2−R)=12012R+76(2−R)=120
⇒12R+152−76R=120⇒12R+152−76R=120
⇒−64R+152=120⇒−64R+152=120
⇒32=64R⇒32=64R
⇒R=12⇒R=12.
∴∴ She ran for half an hour and jetpacked for one and half hours.
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