eudora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. she then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours.

Given: Eudora moved at an average pace of 12 km/h as she sprinted from her house to her underground laboratory. She then hopped into one of her jetpacks and soared 76 km/h to her school. Eudora covered 120 kilometres in all, and the journey took her two hours.

To determine: How much time Eudora spent running and how much time she spent using her jetpack to fly

Solution:

If she utilised the jet pack for x seconds, then

76x + 12 (2-x) = 120

76x + 24 – 12x = 120

x = 96/64

x= 1.5

She spent 0.5 hours running, thus when we simplify, x = 1.5 hours.

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