United secure their first Premiership win of the season and provide some cheer for absent and unwell manager Jim Goodwin.

Emmanuel Agyei, Zac Sapsford (with a penalty) and Will Ferry put them firmly in control in the first half and Jesse Randall added another after the break.

That's three defeats out of three for Kilmarnock in the Premiership and two by a margin of four goals at Rugby Park.

Image source, SNS

A deserved win for Celtic, thanks to Camilo Duran's first-half double, but they didn't make it easy for themselves.

Several missed chances for the hosts and Colby Donovan's own goal made it a nervy finish, but they see it through for all three points.

After Tuesday's dismal showing, a win was much needed for Martin O'Neill's side.

Image source, SNS

Only two minutes of added time at Celtic Park.

Claudio Braga almost seals all three points for Hearts as the forward curls from 25 yards out, but it's just over the over the bar.

The Portuguese has been quiet by his usual high standards.

Liam McLeod
BBC Sport Scotland commentator at Parkhead

I cannot believe the amount of Celtic fans that are leaving right now, with the game in the balance at 2-1.

I didn't read anything about a protest and it seems a strange time to do that.

St Johnstone are really putting on the pressure now, with Liam Smith nodding a header into the side netting.

Hearts have really tired in this second half.

Hearts are on the rack as Oisin McEntee fouls Kai Fotheringham on the left-hand side of the penalty box.

The free-kick is whipped towards the top corner, but goalkeeper Beau Reus is able to turn over.

Brian McLauchlin
BBC Sport Scotland at Tynecastle

This is all becoming very interesting. From looking as if they would go on to score a few goals and a comfortable win, Hearts are struggling to cope with the pace and power of St Johnstone. A big 10 minutes to come here at Tynecastle.

Luke McCowan - after a torrid performance on Tuesday in Austria - gets a standing ovation as he comes off the bench to replace Alex Oxlade-Chamberlain in Celtic's midfield.

Sebastian Tounekti is also on for Yang Hyun-jun, while Deniss Melniks replaces Ben Krauhaus for Falkirk.

Martin Dowden
BBC Sport Scotland at Celtic Park

Falkirk have impressed in this second half with Celtic just not doing enough to kill the game.

It increasingly looked like a goal might change this entirely and here we are.

It does look like Celtic have reacted but a little late to make the final stages routine.

Hearts are living very dangerously here.

Taylor Steven plays a cross on the left to Macaulay Tait, the former Hearts youngster, but his goalbound effort comes off Josh Fowler and goes wide.

United substitute Lachlan Rose gets in behind the Kilmarnock defence with only Max Stryjek to beat and he is denied by the goalkeeper's outstretched foot.

Kilmarnock get off the hook there.

Another huge Celtic chance goes begging.

Benjamin Nygren flashes over the top and Mika Baur is furious with his team-mate - the German thinks Nygren should have left it.

Liam Scales swings a great cross into the Falkirk box and Yang Hyun-jun gets on the end of it, but the winger heads over the top.

Big chance for Celtic.

Max Stryjek avoids the concession of a fourth goal as the goalkeeper turns a Zac Sapsford header wide.