When I log on and go to the game room I click the 'Quick Match' and play anyone who comes along.

The games I don't enjoy are the ones set to a 10sec shot time.

When the name comes up of who wants to play it doesn't show the shot time, is there anyway of knowing or restricting challenges to a higher time limit.

simple solution, click game room instead of 'quick match' and enter a room with a higher limit or just create your own room with whatever limit you like

Yeh basically what Deco said, it only takes a few seconds more to click game rooms, and then you see the shot time, player, and the rank all in one, just for a few seconds work