diff --git a/activesupport/lib/active_support/core_ext/date/calculations.rb b/activesupport/lib/active_support/core_ext/date/calculations.rb
index c60e833441..86d7fa1abf 100644
--- a/activesupport/lib/active_support/core_ext/date/calculations.rb
+++ b/activesupport/lib/active_support/core_ext/date/calculations.rb
@@ -1,12 +1,13 @@
 require 'date'
-require 'active_support/duration'
 require 'active_support/core_ext/object/acts_like'
 require 'active_support/core_ext/date/zones'
+require 'active_support/core_ext/date/operators'
 require 'active_support/core_ext/time/zones'
 require 'active_support/core_ext/date_and_time/calculations'
 
 class Date
   include DateAndTime::Calculations
+  prepend ActiveSupport::DateOperators
 
   class << self
     attr_accessor :beginning_of_week_default
@@ -85,26 +86,6 @@ class Date
   end
   alias :at_end_of_day :end_of_day
 
-  def plus_with_duration(other) #:nodoc:
-    if ActiveSupport::Duration === other
-      other.since(self)
-    else
-      plus_without_duration(other)
-    end
-  end
-  alias_method :plus_without_duration, :+
-  alias_method :+, :plus_with_duration
-
-  def minus_with_duration(other) #:nodoc:
-    if ActiveSupport::Duration === other
-      plus_with_duration(-other)
-    else
-      minus_without_duration(other)
-    end
-  end
-  alias_method :minus_without_duration, :-
-  alias_method :-, :minus_with_duration
-
   # Provides precise Date calculations for years, months, and days. The +options+ parameter takes a hash with
   # any of these keys: <tt>:years</tt>, <tt>:months</tt>, <tt>:weeks</tt>, <tt>:days</tt>.
   def advance(options)
@@ -129,15 +110,4 @@ class Date
       options.fetch(:day, day)
     )
   end
-  
-  # Allow Date to be compared with Time by converting to DateTime and relying on the <=> from there.
-  def compare_with_coercion(other)
-    if other.is_a?(Time)
-      self.to_datetime <=> other
-    else
-      compare_without_coercion(other)
-    end
-  end
-  alias_method :compare_without_coercion, :<=>
-  alias_method :<=>, :compare_with_coercion
 end
diff --git a/activesupport/lib/active_support/core_ext/date/operators.rb b/activesupport/lib/active_support/core_ext/date/operators.rb
new file mode 100644
index 0000000000..decf099624
--- /dev/null
+++ b/activesupport/lib/active_support/core_ext/date/operators.rb
@@ -0,0 +1,16 @@
+require 'active_support/core_ext/date_and_time/with_duration'
+
+module ActiveSupport
+  module DateOperators # :nodoc:
+    include DateAndTime::WithDuration
+
+    # Allow Date to be compared with Time by converting to DateTime and relying on the <=> from there.
+    def <=>(other)
+      if other.is_a?(Time)
+        self.to_datetime <=> other
+      else
+        super
+      end
+    end
+  end
+end
diff --git a/activesupport/lib/active_support/core_ext/date_and_time/with_duration.rb b/activesupport/lib/active_support/core_ext/date_and_time/with_duration.rb
new file mode 100644
index 0000000000..4a6c4013d5
--- /dev/null
+++ b/activesupport/lib/active_support/core_ext/date_and_time/with_duration.rb
@@ -0,0 +1,23 @@
+require 'active_support/duration'
+
+module ActiveSupport
+  module DateAndTime
+    module WithDuration #:nodoc:
+      def +(other) #:nodoc:
+        if ActiveSupport::Duration === other
+          other.since(self)
+        else
+          super
+        end
+      end
+
+      def -(other) #:nodoc:
+        if ActiveSupport::Duration === other
+          self + (-other)
+        else
+          super
+        end
+      end
+    end
+  end
+end
diff --git a/activesupport/lib/active_support/core_ext/time/calculations.rb b/activesupport/lib/active_support/core_ext/time/calculations.rb
index 1ce68ea7c7..dd99dd667a 100644
--- a/activesupport/lib/active_support/core_ext/time/calculations.rb
+++ b/activesupport/lib/active_support/core_ext/time/calculations.rb
@@ -1,11 +1,12 @@
-require 'active_support/duration'
 require 'active_support/core_ext/time/conversions'
 require 'active_support/time_with_zone'
 require 'active_support/core_ext/time/zones'
+require 'active_support/core_ext/time/operators'
 require 'active_support/core_ext/date_and_time/calculations'
 
 class Time
   include DateAndTime::Calculations
+  prepend ActiveSupport::TimeOperators
 
   COMMON_YEAR_DAYS_IN_MONTH = [nil, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]
 
@@ -212,60 +213,4 @@ class Time
   def all_day
     beginning_of_day..end_of_day
   end
-
-  def plus_with_duration(other) #:nodoc:
-    if ActiveSupport::Duration === other
-      other.since(self)
-    else
-      plus_without_duration(other)
-    end
-  end
-  alias_method :plus_without_duration, :+
-  alias_method :+, :plus_with_duration
-
-  def minus_with_duration(other) #:nodoc:
-    if ActiveSupport::Duration === other
-      other.until(self)
-    else
-      minus_without_duration(other)
-    end
-  end
-  alias_method :minus_without_duration, :-
-  alias_method :-, :minus_with_duration
-
-  # Time#- can also be used to determine the number of seconds between two Time instances.
-  # We're layering on additional behavior so that ActiveSupport::TimeWithZone instances
-  # are coerced into values that Time#- will recognize
-  def minus_with_coercion(other)
-    other = other.comparable_time if other.respond_to?(:comparable_time)
-    other.is_a?(DateTime) ? to_f - other.to_f : minus_without_coercion(other)
-  end
-  alias_method :minus_without_coercion, :-
-  alias_method :-, :minus_with_coercion
-
-  # Layers additional behavior on Time#<=> so that DateTime and ActiveSupport::TimeWithZone instances
-  # can be chronologically compared with a Time
-  def compare_with_coercion(other)
-    # we're avoiding Time#to_datetime and Time#to_time because they're expensive
-    if other.class == Time
-      compare_without_coercion(other)
-    elsif other.is_a?(Time)
-      compare_without_coercion(other.to_time)
-    else
-      to_datetime <=> other
-    end
-  end
-  alias_method :compare_without_coercion, :<=>
-  alias_method :<=>, :compare_with_coercion
-
-  # Layers additional behavior on Time#eql? so that ActiveSupport::TimeWithZone instances
-  # can be eql? to an equivalent Time
-  def eql_with_coercion(other)
-    # if other is an ActiveSupport::TimeWithZone, coerce a Time instance from it so we can do eql? comparison
-    other = other.comparable_time if other.respond_to?(:comparable_time)
-    eql_without_coercion(other)
-  end
-  alias_method :eql_without_coercion, :eql?
-  alias_method :eql?, :eql_with_coercion
-
 end
diff --git a/activesupport/lib/active_support/core_ext/time/operators.rb b/activesupport/lib/active_support/core_ext/time/operators.rb
new file mode 100644
index 0000000000..161304dcb3
--- /dev/null
+++ b/activesupport/lib/active_support/core_ext/time/operators.rb
@@ -0,0 +1,36 @@
+require 'active_support/core_ext/date_and_time/with_duration'
+
+module ActiveSupport
+  module TimeOperators # :nodoc:
+    include DateAndTime::WithDuration
+
+    # Layers additional behavior on Time#<=> so that DateTime and ActiveSupport::TimeWithZone instances
+    # can be chronologically compared with a Time
+    def <=>(other)
+      # we're avoiding Time#to_datetime and Time#to_time because they're expensive
+      if other.class == Time
+        super
+      elsif other.is_a?(Time)
+        super(other.to_time)
+      else
+        to_datetime <=> other
+      end
+    end
+
+    # Layers additional behavior on Time#eql? so that ActiveSupport::TimeWithZone instances
+    # can be eql? to an equivalent Time
+    def eql?(other)
+      # if other is an ActiveSupport::TimeWithZone, coerce a Time instance from it so we can do eql? comparison
+      other = other.comparable_time if other.respond_to?(:comparable_time)
+      super
+    end
+
+    # Time#- can also be used to determine the number of seconds between two Time instances.
+    # We're layering on additional behavior so that ActiveSupport::TimeWithZone instances
+    # are coerced into values that Time#- will recognize
+    def -(other)
+      other = other.comparable_time if other.respond_to?(:comparable_time)
+      other.is_a?(DateTime) ? to_f - other.to_f : super
+    end
+  end
+end