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- Question
- Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and Sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
Options- A. 48
- B. 24
- C. 36
- D. None of these
- Correct Answer
- 24
Explanation24 men complete the work in 16 days
? Work that 16 men complete in 12 days = (16/24) x (12/ 16) = 1/2 part of work in 12 days.
32 women complete the work in 24 days
? Work that 16 women complete in 14 days = (16/32) x (14/24) = 7/24 part of work in (12 + 2) = 14 days.
So, the remaining part of the work which done by (sixteen men + sixteen women) and required additional no. of men in 2 days = 1 - (1/2 + 7/24) = 1/2 - 7/24 = 5/24 (part)
Now, in 2 days 5/24 part part of the work is done by (24 x 16)/ 2 x (5/ 24) = 40 men
? Required additional no. of men = 40 - 16 =24. - 1. A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work and are forced to leave after 2 days. The time taken to complete the remaining work is?
Options- A. 6 days
- B. 9 days
- C. 10 days
- D. 13 days Discuss
- 2. Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how, many days will all of them together complete the remaining work
Options- A. 2
- B. 4
- C. 5
- D. 6 Discuss
- 3. A can do a piece of work in 10 days and B can do the same piece of work in 20 days. They start the work together but after 5 days A leaves off, B will do the remaining piece of work in?
Options- A. 5 days
- B. 6 days
- C. 8 days
- D. 10 days Discuss
- 4. A completes a work in 15 days. B complete the same work in 20 days. A started working alone after 1 days B joined him. How many day will they now take together to complete the remaining work?
Options- A. 8 days
- B. 7 days
- C. 6 days
- D. None of these Discuss
- 5. A can do a piece of work in 12 days, B can do the same work in 8 days and c can do the same job in 4 / 5 th time required by both A and B. A and B work together for 3 days, then C complete days did C work?
Options- A. 8
- B. 6
- C. 3
- D. None of these Discuss
- 6. Typist A can type a report in 16 hours. Typist B can type the same report in 20 hours and the typist C in 24 hours. All the three typist started typing at 9.00 a.m. at 1.00 p.m. the typist A stopped typing. The other two typists finished the job. Approximately at what time the report was typed?
Options- A. 04 : 10 p.m.
- B. 05 : 11 p.m.
- C. 05 : 45 p.m.
- D. 06 : 15 p.m. Discuss
- 7. 14 persons can complete a work in 16 days. 8 persons started the work 12 days after they started the work 8 more person joined them. How many days will they take to complete the remaining work?
Options- A. 12 days
- B. 7 days
- C. 9 days
- D. None of these Discuss
- 8. If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and two boys can reap 7 hectares in 2 days. How many boys must assist 7 men in order that they may reap 45 hectares in 6 days?
Options- A. 2 boys
- B. 6 boys
- C. 4 boys
- D. 5 boys Discuss
- 9. A piece of work was to be completed in 40 days, a number of men employed upon it did only half the work in 24 days, 16 more men were then set on and the work was completed in the specified time, how many men were employed at first?
Options- A. 16 men
- B. 32 men
- C. 24 men
- D. 48 men Discuss
- 10. A can do a piece of work in 10 days. B can do it in 24 days. If C also works with them then it take only 6 days to complete the whole work. In how many days C alone can complete the whole work?
Options- A. 25
- B. 40
- C. 50
- D. 75 Discuss
Time and Work problems
Search Results
Correct Answer: 6 days
Explanation:
(B + C)'s 2 day's work = 2 x (1/10 + 1/15) = 1/3
Remaining work = (1 - 1/3) = 2/3
? 1/9 work is done by A in 1 day
? 2/3 work is done by A in (9 x 2) / 3 = 6 days
Correct Answer: 4
Explanation:
1 men's one day's work = 1/96
12 men's 3 day's work = 3 x (1/8) = 3/8
Remaining work = (1 - 3/8) = 5/8
15 men's 1 day's work = 15/96
Now, 15/96 work is done by them in 1 day
? 5/8 work will be done by them in = (96/15) x (5/ 8) i.e., 4 days
Correct Answer: 5 days
Explanation:
(A + B)'s 5 day's work = 5 x (1/10 + 1/20) = 3/4
Remaining work = (1 - 3/4) = 1/4
1/20 work is done by B in = 1 day
? 1/4 work is done by B in = 20 x (1/4) i.e., 5 days.
Correct Answer: 8 days
Explanation:
Work of A for 1 day = 1/15
Work of B for 1 day = 1/20
Work of (A + B) together for 1 day = 1/15 + 1/20 = (4 + 3)/60 = 7/60
Remaining work after A alone does for 1 day = 1 - 1/15 = 14/15
? 7/60 part-work can be complete by (A + B) in 1 days
? 14/15 part-work can be completed by (A + B) in = (60/7) x (14/15) = 8 days.
Correct Answer: None of these
Explanation:
As per question, work of A for 1 day = 1/12 and work of B for 1 day = 1/8
? Work of (A + B) together for 1 day = 1/12 + 1/8 = (2 + 3)/24 = 5/24
? Work of (A + B) together for 3 days = 3 x (5/24) = 5/8
? Remaining work after 3 days = 1 - 5/8 = 3/8
? C can do the same work in = 4/5th time required by (A + B) = 4/5 x 24/5 = 96/25 days
? Work of C for 1 day = 25/96 part.
? 25/96 part work can be done by C in 1 day
? 3/8 part work can be done by C in = 96/25 x 3/8 days = 36/25 days = 111/25
? The complete day C did the work = 1 day.
Correct Answer: 05 : 11 p.m.
Explanation:
Work of (A + B + C) for 1 hour = 1/16 + 1/20 + 1/24 = 37/240
? Work of (A + B + C) for 4 hours = 4 x 37/240 = 37/60
? Remaining work = 1 - 37/60 = 23/60
? Work of (B + C) for 1 hour = 1/20 + 1/24 = 11/120
? 11/120 work is done by (B + C) in 1 hour
? 23/60 work is done by (B + C) = 120/11 x 23/60 = 46/11 hours = 4 hours 11 min.
? The type at which the report was typed = 01 : 00 + 04 : 11 = 05 : 11 p.m.
Correct Answer: None of these
Explanation:
? 14 person complete in 16 days = 1 work
? 8 person complete in 12 days = 1 x (8/14) x (12/16) = 3/7
? Remaining work = 1 - 3/7 = 4/7
and total number of person = 8 + 8 = 16
? 14 person do 1 work in 16 days
? 16 person do 4/7 work in 16 x (14/16) x (4/7) = 8 days
Correct Answer: 2 boys
Explanation:
5 men + 3 boys can reap 23 hectares in 4 days ......(i)
3 men + 2 boys can reap 7 hectares in 2 days ......(ii)
? From (i),
14( 5 men + 3 boys) can reap 23 x 14 hectares in 4 days
Now, from (ii)
? 23 (3 men + 2 boys) can reap 7 x 2 x 23 hectares in 4 days
? 14(5 men + 3 boys) = 23 (3 men + 2 boys)
? 70 men + 42 boys = 69 men + 46 boys
? 1 men = 4 boys
Now, 5 men + 3 boys = 23 boys
? 23 boys can reap 23 hectare 4 days
? 1 boy can reap 1 hectares in 4 days
? 4 boys can reap 1 hectare in 1 day
? 4 x 45 boys can reap 45 hectaes in 1 day
? 4 x 45 / 6 boys can reap 45 hectares in 6 days
? 30 boys can reap 45 hectares in 6 days
But 30 boys = 28 boys + 2 boys = 7 men + 2 boys
Hence, 2 boys can assist 7 men for the work.
Correct Answer: 32 men
Explanation:
Let N men were employed at first
? N men do 1/2 of the work in 24 days
? 1 man do the whole work in 24 x 2 x N = 48N days
Now, from the question,
(N + 16) men do the remaining work (1 - 1/2) = 1/2 in (40 - 24) = 16 days
? 1 man do the whole work in 16 x 2 x (N + 16) days
? 48N = 32(N + 16)
? N = 32 men
Correct Answer: 40
Explanation:
Efficiency of A = 100/10 = 10%
Efficiency of B = 100/24 = 4.16%
Efficiency of (A+B+C) = 100/6 = 16.66%
Efficiency of C = (16.66) - (10 + 4.16) = 2.5%
Number of days required by C alone to finish the work = 100/2.5 = 40 days
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