Two workers

One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself?

Correct answer:

a =  10 h
b =  15 h

Step-by-step explanation:

a=4+s b=9+s  s (1/a+1/b)=1  s (1/(4+s)+1/(9+s))=1  s((9+s)+(4+s))=(9+s)(4+s)  s ((9+s)+(4+s))=(9+s) (4+s) s236=0  a=1;b=0;c=36 D=b24ac=0241(36)=144 D>0  s1,2=b±D2a=±1442 s1,2=±122 s1,2=±6 s1=6 s2=6   Factored form of the equation:  (s6)(s+6)=0  s>0 s=s1=6  a=4+s=4+6=10 h

Our quadratic equation calculator calculates it.

b=9+s=9+6=15 h



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