Melinda can paint 1/4 of a wall in the same time that Desiree can paint 2/5 of a wall. How much of a wall will Melinda have painted when Desiree has finished painting 1 wall?

Melinda will paint 5/8 part of a wall when Desiree has finished painting 1 wall.

Step-by-step explanation:

It is given that:

Melinda can paint 1/4 of a wall in the same time that Desiree can paint 2/5 of a wall.

Let 't' be the time taken by Melinda and Desiree to paint 1/4 and 2/5 of a wall respectively.

Now the time taken by Desiree to paint 1 wall will be:

2/5 of wall = t

1 wall = (5/2) t

Now in this time (i. e. 5/2 t) the part of a wall painted by Melinda will be:

As Melinda takes- - t time to paint = 1/4 of a wall

5/2 t she will paint = (5/2) * (1/4) of a wall = (5/8) of a wall.

Hence Melinda will paint 5/8 part of a wall when Desiree has finished painting 1 wall.