Lana took one and a half tines as long as jayden to finish a project. If lana took 15 days, how long did jayden take?

Jayden's time ---- x days

Lana's time = 1.5x

1.5x = 15
x = 15/1.5 = 10 days

We are given that Lana took one and a half times as long as Jayden to finish the project. So let's say Jayden took "x" days to finish the project.

According to the given information, we can set up the equation:

Lana's time = 1.5 x Jayden's time

And since Lana took 15 days, we can substitute that into the equation:

15 = 1.5x

To find Jayden's time, we need to solve this equation for x. Let's divide both sides by 1.5:

15/1.5 = x

This simplifies to:

10 = x

So, Jayden took 10 days to finish the project.

To find out how long Jayden took to finish the project, we can start by determining the ratio between the time taken by Lana and Jayden. If Lana took one and a half times as long as Jayden, this means that Lana's time can be represented as 1.5 times Jayden's time.

Given that Lana took 15 days, we can set up an equation to represent this relationship:

Lana's time = 15 days
Jayden's time = x (unknown)

Since Lana's time is 1.5 times Jayden's time, we can write the equation as:

15 days = 1.5 * x

Now we can solve for x, which will give us Jayden's time:

15 days / 1.5 = x

By dividing both sides of the equation by 1.5, we find:

10 days = x

Therefore, Jayden took 10 days to finish the project.