Model 5  Split & Fraction of work Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CGL Tier-II 2015]

A does half as much work as B in three fourth of the time. If together they take 18 days to complete the work, how much time will B alone take to do it ?

a) 45 days

b) 40 days

c) 30 days

d) 50 days

Question : 12 [SSC CPO SI & ASI 2016]

Dhiru can dig $1/a$ of a field in 20 hours. What fraction of the same field can Kaku dig in 20 hours if the two of them can dig the field in 60 hours, working together at their respective rates ?

a) $1/{3a}$

b) ${(a - 3)}/a$

c) ${(a - 3)}/{3a}$

d) ${3a}/{(a - 3)}$

Question : 13 [SSC CGL Tier-I 2016]

A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

a) 7$1/2$ days

b) 8 days

c) 6 days

d) 6$1/4$ days

Question : 14 [SSC CGL Prelim 2002]

A can finish a work in 18 days and B can do the same work in half the time taken by A. Then working together what part of the same work they can finish in a day ?

a) $2/5$

b) $1/6$

c) $2/7$

d) $1/9$

Question : 15 [SSC MTS 2011]

A and B can do a piece of work in 72 days, B and C can do it in 120 days, and A and C can do it in 90 days. When A, B and C work together, how much work is finished by them in 3 days.

a) $1/30$

b) $1/40$

c) $1/10$

d) $1/20$