increase connection timeout to 120. If your server do not have enough bandwidth, you may have network problem. LiteSpeed delivers content much faster than Apache, which may make it looks worse. Better ask you DC about your bandwidth limit, and your usage. on 10Mb/s, 100Mb/s or 1Gb/s port, and QoS limit has been applied, etc.
Check the output of "netstat -s" for retransmission, packet loss, etc.