Time and Work Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 21
Easy
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 2
B 6
C 4
D 8
Correct Answer: C

Explanation:

28 men do 7/8 in a week → 1/8 needs 28/7 = 4 men.
Question 22
Medium
Mahesh can complete a job in 5 days. Mahesh is twice as fast as Akhilesh while Akhilesh is thrice as fast as Nimesh. If all of them work together, in how many days would the job get completed?
A 2 1/2 days
B 3 days
C 2 days
D 4 days
Correct Answer: B

Explanation:

Mahesh 5 days; Akhilesh is half as fast → 10 days; Nimesh is 1/3 as fast as Akhilesh → 30 days. 1/5 + 1/10 + 1/30 = (6 + 3 + 1)/30 = 1/3 → 3 days.
Question 23
Easy
A alone can complete a work in 6 days and B can complete this work alone in 8 days. They can complete this work in 3 days with the help of C. If they are paid Rs. 6400 for this work, then find the share of C.
A Rs. 1200
B Rs. 1600
C Rs. 800
D Rs. 640
Correct Answer: C

Explanation:

A and B in 3 days: 3(1/6 + 1/8) = 21/24 = 7/8. C did 1/8 → (1/8) × 6400 = Rs. 800.
Question 24
Easy
Gagan is thrice as good a worker as Dilip and takes 8 days less to do a piece of work than Dilip. In how many days can Dilip do the complete work?
A 12 days
B 24 days
C 4 days
D 16 days
Correct Answer: A

Explanation:

Gagan is 3× as efficient → time ratio Gagan : Dilip = 1 : 3. Difference 2 parts = 8 days → 1 part = 4 → Dilip = 12 days.
Question 25
Easy
20 labourers, working 7 hours a day can finish a piece of work in 30 days. If the labourers work 5 hours a day, then the number of labourers to finish the same piece of work in 40 days, will be :
A 21
B 28
C 24
D 18
Correct Answer: A

Explanation:

20 × 7 × 30 = 4200 = L × 5 × 40 → L = 21.