diff --git a/src/builtins/time.rs b/src/builtins/time.rs
index dbf47af..b4c1e2e 100644
--- a/src/builtins/time.rs
+++ b/src/builtins/time.rs
@@ -1,4 +1,4 @@
-use chrono::{DateTime, Local, Utc};
+use chrono::{DateTime, Utc};
 
 use crate::error::ShellError;
 
@@ -27,9 +27,8 @@ fn format_time(time: DateTime<Utc>, formatting: &str) -> String {
 
 #[cfg(test)]
 mod tests {
-    use std::str::FromStr;
 
-    use chrono::{NaiveDate, NaiveDateTime, NaiveTime, TimeZone};
+    use chrono::TimeZone;
 
     use super::*;
 
@@ -46,4 +45,10 @@ mod tests {
             "Thu, 20 Apr 6969 04:20:09 +0000"
         )
     }
+
+    #[test]
+    fn test_format_time_rfc3339() {
+        let time = chrono::Utc.with_ymd_and_hms(6969, 4, 20, 4, 20, 9).unwrap();
+        assert_eq!(format_time(time, "RFC3339"), "6969-04-20T04:20:09+00:00")
+    }
 }