Model 5  Split & Fraction of work Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is

a) $4/3$

b) $3/4$

c) $1/4$

d) $3/20$

Question : 2

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 : 3

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 : 4

A can do one and a half as much of a work which B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in

a) 11$1/5$ days

b) 10$1/5$ days

c) 7$1/5$ days

d) 5$1/5$ days

Question : 5

A can complete $1/3$ of a work in 5 days and B, $2/5$ of the work in 10 days. In how many days both A and B together can complete the work ?

a) 9$3/8$ days

b) 10 days

c) 7$1/2$ days

d) 8$4/5$ days

Question : 6

A can do $1/6$ of a work in 5 days and B can do $2/5$ of the work in 8 days. In how many days, can both A and B together do the work?

a) 13 days

b) 12 days

c) 20 days

d) 15 days