You can
put this solution on YOUR website!Harold Greedy started with $20. After $1 hour, he had $40. It took him 19 more hours to go from $40 to the amount/fortune he wanted. I'll call it X, but I do not have to calculate it.
Horace, started with $40, and increased his fortune at the same rate as his brother had done.
So he got from $40 to X in
hours, just like his brother had done before.
My question is, was the official solution to the problem unnecessarily more complicated than that?
JUST FOR FUN (and to apply a little of the stuff you're learning in class)
The brothers' fortunes were increasing in geometric sequence (or geometric progression, depending on book/teacher/country).
After n hours Harold had
$
After 20 hours he had
X=$
I still do not have to calculate it
Horace, starting with $40, would have
$
after t hours
When Horace's fortune matched his brother's X=$
, we would have
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OK. I'm curious. I'll calculate it after all.
X=$
=$20,971,520
