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Should I be embarrassed to admit that this was the first
method I used to get the answer?
But a second approach: Time required varies directly with
job size and inversely with job rate. So a 20-fold increase
in both of those things will leave the time unchanged. This
is the kind of thinking I steadily encourage my students to
use. But not many of them embrace this. I think one of the
barriers is actually number-sense fluency or whatever you
want to call it. You have to see 100 and 5 and immediately
be thinking about the ratio. That is not a universal among
my students.