Before an inhaled anesthetic can have an effect, it has to fully dissolve into the blood.*
That's pretty much all you need to know to figure out the rest of the blood/gas coefficient and onset of action stuff. Working from that first sentence, a high B/G means we need a lot to get fully into blood, which takes a while, which means slower onset. A low B/G means we fully dissolve quickly, so we start working more quickly.
The graph for NO clearly shows that the blood gets saturated (the graph plateaus), which means the NO has already started working in the brain. The graph for Drug A hasn't plateaued. This can be taken to mean it hasn't started working yet, because it hasn't saturated the blood yet. It needs more time to saturate the blood, more time to get to work (slower onset).
Drug A has a higher B/G (more drug will be dissolved in the blood by the time the graph plateaus), higher solubility, slower onset.
*Not super technically true, but we assume it for these types of problems.
n.b. As a caveat, this has nothing to do with potency. Onset of action just means how quickly it gets into brain tissue. Potency is all about how much you need to pump through the tube to get an eventual effect (minimal alveolar concentration), irrespective of how long the effect takes to happen.