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

Question : 1

A does half as much work as B in one-third of the time taken by B. If together they take 10 days to complete a work, then the time taken by B alone to do it would have been

a) 25 days

b) 30 days

c) 12 days

d) 6 days

Question : 2

A can do a work in 20 days and B in 40 days. If they work on it together for 5 days, then the fraction of the work that is left is :

a) $8/15$

b) $5/8$

c) $1/10$

d) $7/15$

Question : 3

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

Question : 4

If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working 7$1/2$ hours a day take to complete the same work?

a) 6

b) 7

c) 8

d) 10

Question : 5

A does $2/5$ of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in

a) 8$2/11$ days

b) 6$12/13$ days

c) 18 days

d) 10 days