This commit adds timedelta encoder to the JSONEncoder class. However, Django
doesn't initially support any kind of timedelta field, so you have to either
implement your own or use django-timedelta.

If this is the case and you want to serialise timedelta input, you will have
to implement your own special field to use for the timedelta, which is not
included in core as it is based on a 3rd party library. Here is an example:

    import datetime
    import timedelta
    from django import forms
    from django.core import validators
    from django.core.exceptions import ValidationError
    from django.utils.translation import ugettext_lazy as _
    from rest_framework.fields import WritableField

    class TimedeltaField(WritableField):
        type_name = 'TimedeltaField'
        form_field_class = forms.FloatField

        default_error_messages = {
            'invalid': _("'%s' value must be in seconds."),
        }

        def from_native(self, value):
            if value in validators.EMPTY_VALUES:
                return None

            try:
                return datetime.timedelta(seconds=float(value))
            except (TypeError, ValueError):
                msg = self.error_messages['invalid'] % value
                raise ValidationError(msg)

Which is based on the FloatField. This field can then be used in
your serializer like this:

    from yourapp.fields import TimedeltaField

    class YourSerializer(serializers.ModelSerializer):
        duration = TimedeltaField()