Improving MySQL Select statement in WordPress theme

I'm using the WordPress theme Engine from Industrialthemes and see that the rendering of the front page uses a lot of queries that uses around 0.4 seconds to run in my MySQL database. Like this one:

SELECT SQL_NO_CACHE SQL_CALC_FOUND_ROWS wp_posts.ID
FROM wp_posts
INNER JOIN wp_term_relationships ON (wp_posts.ID = wp_term_relationships.object_id)
WHERE 1 =1
  AND (wp_term_relationships.term_taxonomy_id IN (1))
  AND wp_posts.post_type = 'post'
  AND (wp_posts.post_status = 'publish'
       OR wp_posts.post_status = 'closed')
GROUP BY wp_posts.ID
ORDER BY wp_posts.post_date DESC 
LIMIT 0,  5;

Is there any way this query can be improved? As far as I can see, the WordPress installation have the default indexes in place for all involved fields. My knowledge on tuning SQL Select statements is not good so I'm hoping for some experts to help me on this one. Thanks.

via Chebli Mohamed