Question

Yaman runs a factory. He makes 2 groups of workers. He observes that the first group with (a -1) workers has worked for (b+1) days and the second group with (b+2) workers has worked for (a-1) days. The productivity ratio of group 1 to group 2 comes out to be 9/10. Can you calculate b.
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Answer 1

•Yaman runs a factory.

•He makes 2 groups of workers.

•He observes that the first group with (a -1) workers has worked for (b+1) day.

•The second group with (b+2) workers has worked for (a-1) days.

•The productivity ratio of group 1 to group 2 comes out to be 9/10.

•Productivity ratio of group 1 is (a-1)*(b+1)

•Productivity ratio of group 2 is (b+2)*(a-1)

•Therefore [(a-1)*(b+1)]/[(b+2)*(a-1)] = (b+1)/(b+2) = 9/10

Implies 10b + 10 = 9b + 18

Implies b = 8