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

Question : 1

A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that $3/4$ of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time ?

a) 20

b) 40

c) 15

d) 30

Question : 2

A, B and C contract a work for Rs. 440. A and B together are to do $9/11$ of the work. The share of C should be :

a) Rs. 90

b) Rs. 75

c) Rs. 80

d) Rs. 100

Question : 3

A and B together can complete a work in 24 days. B alone does $1/3$ rd part of this work in 12 days. How many days will A alone take to complete the remaining work?

a) 36 days

b) 24 days

c) 72 days

d) 48 days

Question : 4

P can complete $1/4$ of a work in 10 days, Q can complete 40% of the same work in 15 days, R, completes $1/3$ of the work in 13 days and S, $1/6$ of the work in 7 days. Who will be able to complete the work first ?

a) Q

b) P

c) S

d) R

Question : 5

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) $1/20$

Question : 6

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) $1/9$