A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.

Match the items on the right to the items on the left.

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Let the number of days in which B finishes the work be ‘b’.

∴ Number of days in which A finishes the work = b – 10

In 1 day,

B finishes 1/b of the work

A finishes 1/(b – 10) of the work

Now, both A and B together can finish the work in 12 days