Workers

Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days.

If every worker worked alone, how many days did the whole work take for workers A and B?

Final Answer:

A =  15 d
B =  30 d

Step-by-step explanation:

a=1/A; b=1/B  10 (a+b) = 1 8 (a+b) + b 6 = 1  a+b = 1/10  8 101+b 6=1  8 1/10+b 6=1  60b=2  b=602=0.03333333  b=3010.033333  a=1/10b=1/100.0333=1510.0667  A=a1=0.06671=15 d
B=b1=0.03331=30 d



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