Time and Work – Level 1 (Foundation)
- IIMwalaBanda
- Aug 1
- 4 min read
1. Two workers, A and B, can finish a job in 15 days and 20 days respectively. If they work together for 4 days, what fraction of the job will still remain unfinished? (F)
(a) 7/15
(b) 8/15
(c) 9/20
(d) 11/20
2. A can lay railway track between two stations in 16 days, while B can do the same in 12 days. With the help of C, they complete the work in just 4 days. How long would C alone take to finish the job? (F)
(a) 9 days
(b) 8 days
(c) 10 days
(d) 12 days
3. A, B, and C can complete a task in 20, 30, and 60 days respectively. If A is assisted by B and C on every third day, in how many days will A finish the work? (R)
(a) 12 days
(b) 15 days
(c) 16 days
(d) 18 days
4. A is three times as efficient as B, and therefore completes a job 60 days earlier than B. Working together, in how many days can they complete the job? (F)
(a) 20 days
(b) 22 days
(c) 24 days
(d) 25 days
5. A takes twice the time of B or thrice the time of C to finish a piece of work. Together, they complete it in 2 days. How long would B alone take to finish the work? (R)
(a) 6 days
(b) 8 days
(c) 10 days
(d) 12 days
6. A alone can complete a work in 6 days, B alone in 8 days. They agree to do it for ₹3200. With C’s help, they finish in 3 days. How much should C be paid? (F)
(a) ₹400
(b) ₹500
(c) ₹600
(d) ₹800
7. Six men and eight boys can finish a job in 10 days, while 26 men and 48 boys can finish the same in 2 days. How long will 15 men and 20 boys take to complete it? (R)
(a) 5 days
(b) 6 days
(c) 7 days
(d) 8 days
8. A can complete a work in the same time as B and C together. If A and B together can finish it in 10 days, and C alone in 50 days, then how long would B alone take? (F)
(a) 15 days
(b) 20 days
(c) 25 days
(d) 30 days
9. A completes 80% of a job in 20 days. With B’s help, the remaining 20% is finished in 3 days. How long would B alone take to finish the entire job? (R)
(a) 25 days
(b) 27 days
(c) 30 days
(d) 32 days
10. Machine P prints 1 lakh books in 8 hours, Q in 10 hours, and R in 12 hours. All start at 9 A.M., but P stops at 11 A.M. The remaining work is finished by Q and R. Approximately at what time will the printing be completed? (F)
(a) 1:30 PM
(b) 2:00 PM
(c) 2:15 PM
(d) 2:30 PM
11. A can finish a job in 18 days, B in 15 days. B works for 10 days and leaves. In how many days can A finish the remaining work alone? (R)
(a) 6 days
(b) 7 days
(c) 8 days
(d) 9 days
12. A and B together can finish a job in 30 days. They work together for 20 days, then B leaves. A finishes the rest in 20 more days. How long would A alone take to finish the job? (F)
(a) 40 days
(b) 45 days
(c) 50 days
(d) 60 days
13. A and B can complete a work in 15 and 10 days respectively. They start together, but after 2 days B leaves. A completes the rest alone. In how many days was the work finished? (R)
(a) 10 days
(b) 11 days
(c) 12 days
(d) 13 days
14. 10 women can finish a job in 7 days, while 10 children take 14 days. How long will 5 women and 10 children take to finish the same work? (F)
(a) 6 days
(b) 7 days
(c) 8 days
(d) 9 days
15. X and Y can complete a job in 20 and 12 days respectively. X works alone for 4 days, then Y joins until completion. How long did the work last? (R)
(a) 10 days
(b) 11 days
(c) 12 days
(d) 13 days
16. A is 30% more efficient than B. How long will they take together to complete a job that A alone could finish in 23 days? (F)
(a) 13 days
(b) 14 days
(c) 15 days
(d) 16 days
17. Ravi types 32 pages in 6 hours, Kumar types 40 pages in 5 hours. Working together on separate computers, how long will they take to type 110 pages? (R)
(a) 7 hours
(b) 7.5 hours
(c) 8 hours
(d) 8.5 hours
18. A and B can do a job in 30 days, B and C in 24 days, C and A in 20 days. They all work together for 10 days, then B and C leave. How many more days will A take to finish the job? (F)
(a) 10 days
(b) 12 days
(c) 14 days
(d) 15 days
19. 20 women can finish a job in 16 days, while 16 men can finish the same in 15 days. What is the ratio of the efficiency of a man to that of a woman? (R)
(a) 3:2
(b) 4:3
(c) 5:4
(d) 6:5
20. A and B together can finish a job in 30 days. A works for 16 days, then B alone finishes the rest in 44 days. How long would B alone take to finish the entire job? (F)
(a) 55 days
(b) 60 days
(c) 65 days
(d) 70 days
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Answer Key
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