Midpoint of a midpoint, then what?

Geometry Level 2

$AB$ is 60 units long. $C$ is the midpoint of $AB$ . $D$ is the midpoint of $CB$ . $E$ is twice as far from $B$ as it is from $D$ such that it is between $DB$ . $F$ is four times as far from $C$ as it is from $A$ . Find $FC + DE$ .

Note: This problem is taken from the Mathizen Question of the Day.