Time and Work Practice Test 1 with solutions

Work done by a man in $\frac{1}{3}$ rd of the day = $\frac{1}{6}$
Work done by a woman in $\frac{1}{3}$ rd of the day = $\frac{1}{9}$
Work done by a man and a woman in $\frac{1}{3}$ rd of the day = $\frac{1}{6}+\frac{1}{9}$ = $\frac{5}{18}$
Remaining work that needs to be done by boys = $\frac{13}{18}$
Work done by a boy in $\frac{1}{3}$ rd of the day = $\frac{1}{18}$
So, 13 boys need to complete $\frac{13}{18}$ th part of the work.