Time and Work Practice Test 2 with solutions

Days taken by Raman to complete $\frac{2}{3}$ rd part of work = $3\frac{1}{2}$ = $\frac{7}{2}$ days
Days taken by Raman to complete the work
= $\frac{7}{2}\times \frac{3}{2}$ = $\frac{21}{4}$ days
Days taken by Suresh to complete $\frac{3}{5}$ th part of work $4\frac{1}{5}$ = $\frac{21}{5}$ days
Days taken by Suresh to complete the work
= $\frac{21}{5}\times \frac{5}{3}$ = 7 days
Work done by Raman in one day = $\frac{4}{21}$
Work done by Suresh in one day = $\frac{1}{7}$
Work done by both in one day = $\frac{4}{21}+\frac{1}{7}$
= $\frac{4+3}{21}$ = $\frac{7}{21}$ = $\frac{1}{3}$
So, together they finish the work in 3 days.