Hello,
The efficiencies of work done by A and B are in the ratio 3 : 2
So, the work done by A in x days will be 5x / 3
and the work done by B in x days will be 5x / 2
Given that A and B together complete the work in 30 days.
The efficiency of A to that of B is in the ratio 3:2, that means A is the fastest person.
So, as concluded above, A can complete the work in 5x / 3 days
For 30 days, x = 30
So, A can complete the work in 5 x 30 / 3 days
So, A can complete the work in 50 days.
So, In 50 days, the faster person can complete the job.
Best Wishes.
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