Question

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

Answer 1

Given that Haruka hiked only 25% less in the afternoon, this means that in the afternoon she hikes 75% of the distance she hiked in the morning. This 75% of a certain number is equal to 6. To determine the distance she hiked in the morning, we represent it as x and use the equation,
 
             0.75x = 6

The value of x from the equation is 8. Adding together the 6 and 8 will give us an answer of 14.

Answer: 14 kilometers

Answer 2

The complete distance Haruka hiked can be calculated by converting the percent to decimal.

The total distance is 14 km Haruka hike in all.

Given:

She hiked in afternoon is $6\: \rm km$.

Let the distance hiked in morning is $x$.

As per the question, 6 kilometers 25% less she had hiked in morning.$\begin{aligned}\left(\dfrac{100\%-25\%}{100}\right)x&=6\\0.75x&=6\\x&=\dfrac{6}{0.75}\\x&=8\\\end$

Therefore, Haruka hiked $8\:\rm km$ in morning.

Calculate the total distance hiked.

$\rm Total\: distance=8+6=14 \:\rm km$

Thus, the total distance is 14 Km Haruka hike in all.

Learn more about percent is here:

https://brainly.in/question/6495601