## Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day befor

Question

Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day before.
What is the total distance Rosie has traveled by the end of the 10th, start superscript, start text, t, h, end text, end superscript day?

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2 days 2021-10-14T08:53:10+00:00 1 Answer 0

110km

Step-by-step explanation:

If she walks 18km on the first day and each day since, she walked 90percent of what she walked the day before.

Second day = 90% of 18km

Second day = 90/100× 18

= 16.2km

Third day = 90% of distance walked second day

Third day = 90/100 × 16.2

= 14.58km

Fourth day = 0.9× 14.58

= 13.12km

Fifth day = 0.9×13.122 = 11.81km

Sixth day = 0.9×11.81 = 10.63km

7th day = 0.9×10.63 = 9.57km

8th day = 0.9×9.57 = 5.74km

9th day = 0.9×5.74 = 5.17km

10th day = 0.9×5.17 = 4.65km

At the end of the 10th day, the total distance covered will be sum of all the distances

= 18+16.2+14.58+13.12+11.81+10.63+

9.57+5.74+5.17+4.65

= 109.47km

= 110km to nearest kilometers