Question 1163804
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Let x be the number of widgets produced each day by B; then the number produced by A each day is x+3.<br>
A and B together can do the whole job in 24 days.<br>
A working 16 days, and B working 12 days, can do 3/5 of the job (because 2/5 of the job remains to be done).<br>
{{{16(x+3)+12(x) = (3/5)(24(x+x+3))}}}
{{{16x+48+12x = (3/5)(48x+72)}}}
{{{28x+48 = (144/5)x+(216/5)}}}
{{{28x+48 = 28.8x+43.2}}}
{{{4.8 = 0.8x}}}
{{{x = 4.8/0.8 = 6}}}<br>
B produces 6 widgets a day; A produces 9.<br>
Together in a day they produce 15 widgets.<br>
Together they complete the job in 24 days, so the number of widgets is 24*15 = 360.<br>