Question

Haruka hiked several kilometers in the morning. She only hiked 6 kilometers in the afternoon, which was 25 percent less she had hiked in the morning. How many kilometers did Haruka hike in all?

Answer 1

6km is 3/4 of her morning speed so 6/(3/4)=6×4/3=8km. Total distance=6+8=14km.

Answer 2

14 kilometers.

Explanation:

Let x be the kilometers she hiked on morning,

25% of the hiked kilometers on morning = 25% of x

= 0.25x

Thus, 25% less of the hiked kilometers on morning = x - 0.25x

= 0.75x

According to the question,

0.75x = 6

`\implies x=(6)/(0.75)=8`

Thus, she hiked 8 km in morning,

And, the total kilometers she hiked = hiked kilometers on morning + hiked kilometers on afternoon

= 8 + 6

= 14