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A math problem (which must be solved by an equation) should tell the reason.
Assuming that the original plan is completed within x days, the equation can be established:

x/3+(2/3 * 40x)/(2 * 40)= x-( 1+ 1/2)

(meaning on the left side of the equation: it takes days to complete one third: x/3; The number of flags made by the whole class is 2/3:40x (calculated according to the original plan), and the speed is twice as fast as 40 (double the number of people), so the number of days made is (2/3*40x)/(2*40).

Solution: x=9/2

* * * Making the school flag: 40*9/2= 180