As I understand it (i could be incorrect) Transaction time is the minimum time a crypto network can confirm a coin transfer from one account/wallet to another. For PoW coins this is slightly higher than their block time. PoS coins can have a MUCH faster block time, but fluctuate more with their transaction speeds due to lack of hashing power (no heavy CPU, GPU or ASIC providing the power), therefore average confirmation time (proof of a successful transaction) is more appropriate for comparison.
Oddly, the BlackCoin specs state a 1 minute block time, which while true for the PoW distribution stage cannot be correct for its now PoS network, as the confirmation times have been as fast as 32 seconds, as per bitinfocharts.com
A transaction is a data bundle, if you like, with the info needed to be added to the blockchain. It needs to be confirmed at least once, a confirmation. The links you've provided shows the first confirmation takes 0.89 minutes on average. It takes 10 confirmations to be absolutely safe.
Wherr does the 10 sec come in?
From my previous looks at the official Blockchain explorer... which now shows transactions as quick as
2 seconds, so the network could be even quicker for transactions than 10 seconds
http://blocks.blackcoin.pw/chain/BlackCoinBlock Approx. Time Transactions Value Out Difficulty Outstanding Average Age Chain Age % CoinDD
86469 2014-04-25 00:25:14 3 4529.49055015 0.268 74514476.59108503 12.1918 59.7675 78.6195%
86468 2014-04-25 00:24:31 2 1125.14479714 0.237 74514476.48124018 12.1917 59.767 78.6194%
86467 2014-04-25 00:24:29 2 6268.51900027 0.216 74514476.36252451 12.1917 59.767 78.6194%
86466 2014-04-25 00:24:15 2 2451.75011091 0.223 74514474.5298787 12.1924 59.7668 78.618%
86465 2014-04-25 00:22:58 3 1745.16441788 0.23 74514474.37055986 12.1916 59.7659 78.6191%
86464 2014-04-25 00:21:41 4 7801.43828072 0.254 74514473.95636921 12.1909 59.7651 78.62%
86463 2014-04-25 00:19:48 2 3000.90649713 0.339 74514473.69240755 12.1903 59.7638 78.6207%
86462 2014-04-25 00:15:58 2 3501.16701899 0.339 74514473.59945559 12.1876 59.7611 78.6243%
86461 2014-04-25 00:16:30 3 2048.69126806 0.327 74514473.35841021 12.1881 59.7615 78.6236%
86460 2014-04-25 00:15:49 3 1138.69085308 0.325 74514472.6538097 12.188 59.761 78.6236%
86459 2014-04-25 00:14:52 2 11384.21974278 0.291 74514472.49684546 12.1874 59.7603 78.6244%
86458 2014-04-25 00:14:44 2 1050.36406836 0.278 74514471.47026702 12.1878 59.7602 78.6236%
86457 2014-04-25 00:14:07 3 1517.59626968 0.282 74514471.27530063 12.1875 59.7598 78.624%
86456 2014-04-25 00:13:00 2 6000.39043972 0.249 74514471.2159428 12.1868 59.759 78.625%