Eudora ran from her home to her secret laboratory at an average speed of 12 km/h. Then 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.
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Eudora ran from her home to her secret laboratory at an average speed of 12 km/h. 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.
To find:
How long did Eudora spend running, and how long did she spend flying using her jet pack
Solution:
Let x be the amount of time she used jet pack,
76x + 12 (2-x) = 120
76x + 24 – 12x = 120
64x=96
x= 96/64
x= 1.5
On simplifying, we get x = 1.5 hours, and she spent 0.5 hours on running.