Kash Patel math

At a press conference on Tuesday, April 21, 2026, FBI director Kash Patel said, “This FBI director has been on the job twice as many days as every director before me. What that means is I've taken half as many days off as those before me. What that means is I've taken a third less vacation than those before me.” (Source: https://www.instagram.com/reels/DXal0fgDxd9/ )

Question:

How many days has Kash Patel worked compared to every FBI director before him?

Assumptions:

* Kash Patel is comparing his days on the job to the average of the number of days on the job of each individual director before him over the same number of days. That is, Kash Patel is NOT comparing his days on the job to the sum of days on the job of all preceding FBI directors. (For a list of previous FBI directors and duration of service, see https://www.britannica.com/topic/directors-of-the-Federal-Bureau-of-Investigation-2227605 )

* Because Kash Patel distinguishes between days off and vacation days, days off and vacation days are mutually exclusive.

* The sum of days worked, days off, and vacation days = Kash Patel's tenure so far at the FBI. Kash Patel was sworn in on Feb. 21, 2025. At the time of the press conference on April 21, 2026, Kash Patel had been FBI director for 424 days.

* The number of vacation days Kash Patel has taken since his swearing in = 17. (Source: https://www.forbes.com/sites/conormurray/2026/04/19/kash-patel-promises-hell-sue-the-atlantic-on-monday-after-report-of-excessive-drinking/ )

Definitions of terms:

Dk = Kash Patel’s days on the job
Ok = Kash Patel’s days off
Vk = Kash Patel’s vacation days
Dp = average of Kash Patel’s predecessors’ days on the job
Op = average of Kash Patel’s predecessors’ days off
Vp = average of Kash Patel’s predecessors’ vacation days

Equations:

(a) Dk + Ok + Vk = 424
(b) Dp + Op + Vp = 424
(c) Dk = 2Dp
(d) Ok = Op/2
(e) Vk = Vp – Vp/3 = 2Vp/3
(f) Vk = 17

Solve for Dk, Ok, Vk, Dp, Op, and Vp:

From (e) and (f),
Vp = 3Vk/2
= 17 * 3 / 2
Vp = 25.5

From (a) and (b),
Dk + Ok + Vk = Dp + Op + Vp
Dk = Dp + Op + Vp - Ok - Vk
= Dp + Op + 25.5 - Ok – 17
= Dp + Op - Ok + 8.5

From (d),
Dk = Dp + Op - Op/2 + 8.5
= Dp + Op/2 + 8.5

From (c), Dk = 2Dp
2Dp = Dp + Op/2 + 8.5
Dp = Op/2 + 8.5

From (b),
Dp + Op + Vp = (Op/2 + 8.5) + Op + 25.5
= 3Op/2 + 34 = 424
3Op/2 = 424 - 34 = 390
Op = 2 * 390 / 3 = 260
Ok = Op/2 = 130

Dp = 424 - Op - Vp
= 424 - 260 - 25.5
Dp = 138.5
Dk = 2 * 138.5 = 277

Conclusion:

For every 424 days in office, Kash Patel has worked 277 days; taken off 130 days; and taken 17 vacation days. For every 424 days in office, Kash Patel’s predecessors on average worked 138.5 days; took off 260 days; and took 25.5 vacation days.

Normalized per year:

Days worked per year: Kash Patel 238.5, Predecessors 119.3
Days off per year: Kash Patel 111.9, Predecessors 223.8
Vacation days per year: Kash Patel 14.6, Predecessors 22

Discussion questions:

* Do you think Kash Patel's assessment of his predecessors' work is accurate? Why or why not? How might you check?
* How would these numbers change if Kash Patel meant "business days" instead of "days"?
* How would these numbers change if weekends are included in "days off"?
* How would these numbers change if (a) "days off" are counted as "vacation days"? (b) If "vacation days" are counted as "days off"?
* Kash Patel was confirmed in the senate by a vote of 51-49. How many votes too many was that?
* J. Edgar Hoover was FBI Director for 48 years and 358 days. How many days total does Kash Patel think Hoover (a) worked, (b) took off, and (c) used for vacation?