The planet Shm'lort uses a different timing system from ours. After making contact, human astronauts tried to figure out how to convert between the two systems. They determined that there are 3 blarsfs and 18 crobs in a minute and 7 blarsfs and 2 crobs in two minutes. How much Earth time, in seconds, elapses in 9 blarsfs and 6 crobs?
3 blarsfs and 18 crobs in a minute
so
6 blarsfs and 36 crobs in 2 minutes
that is
6 blarsfs and 34 crobs +2crobs in 2 minutes
but we are told that there are
7 blarsfs and 2 crobs in two minutes
so
There must be 34 crobs in 1 blarsfs
and
3*34+18 = 120 crobs in a minute
so one crob is a half second
9 blarfs and 6 crobs = 9*34+6 = 312 crobs = 156 seconds