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

Question : 1

A can complete a work in 6 days while B can complete the same work in 12 days. If they work together and complete it, the portion of the work done by A is

a) $2/3$

b) $1/3$

c) $1/2$

d) $1/4$

Question : 2

A alone can do a piece of work in 20 days and B alone in 30 days. They begin to work together. They will finish half of the work in :

a) 9 days

b) 8 days

c) 6 days

d) 12 days

Question : 3

If 28 men complete $7/8$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is

a) 6

b) 5

c) 3

d) 4

Question : 4

A does $7/10$ part of work in 15 days. After that he completes the remaining work in 4 days with the help of B. In how many days will A and B together do the same work ?

a) 12$2/3$ days

b) 10$1/3$ days

c) 8$1/4$ days

d) 13$1/3$ days

Question : 5

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work than when work together. If B worked alone, would take 4$1/2$ hours more than when work together. The time required to finish the work together is

a) 4 hours

b) 5 hours

c) 6 hours

d) 8 hours

Question : 6

Janardan completes $2/3$ of his work in 10 days. Time he will take to complete $3/5$ of the same work, is

a) 6 days

b) 8 days

c) 4 days

d) 9 days