Question

Cecelia went on a hiking trip. The first day she walked 27 kilometers. Each day since, she walked 2/3 of what she walked the day before. What is the total distance Cecelia has traveled by the end of the 5th day?

A) 61.875 kilometers
B) 68 kilometers
C) 62.8125 kilometers
D) 54.6 kilometers

Answer 1

The total distance traveled by the end of the 5th day is 70.33 kilometers.

Step-by-step explanation:

To find the total distance Cecelia has traveled by the end of the 5th day, we need to calculate the distance walked each day and sum them up.

Given that she walked 27 kilometers on the first day, we can calculate the distances for the subsequent days:

Day 2: 2/3 * 27 = 18 kilometers

Day 3: 2/3 * 18 = 12 kilometers

Day 4: 2/3 * 12 = 8 kilometers

Day 5: 2/3 * 8 = 5.33 kilometers

Adding up the distances for all five days, the total distance traveled by the end of the 5th day is 27 + 18 + 12 + 8 + 5.33 = 70.33 kilometers.