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- Question
- If the work done by 8 men and 4 boys in 1 days is 7 times the work done by 1 man and 1 boy, then compare the work done by 1 man and 1 boy in 1 days?
Options- A. 1
- B. 2
- C. 3
- D. 1/2
- Correct Answer
- 3
ExplanationHere, a1 = 8, b1 = 4, a2 = 1, b2 = 1 and n = 7
? Work done by 1 man/Work done by 1 boy = (nb2 - b1)/(a1 - na2)
= (7 x 1 - 4) / (8 - 7 x 1)
= 3 - 1. 4 goats or 6 sheep can graze a field in 50 days. 2 goats and 9 sheep can graze the field in?
Options- A. 100 days
- B. 75 days
- C. 50 days
- D. 25 days Discuss
- 2. 4 men or 6 women or 10 children can paint a house in 5 days. The painting is given to a couple and their 5 sons. They finish the job in?
Options- A. 11/60 days
- B. 55/11 days
- C. 56/11 days
- D. 111/5 days Discuss
- 3. X can do 20% of a work in day, Y can do 25% of the same work in days and X, Y and Z together can do 50% of the same work in a day. How many per cert of work can be done by Z in day?
Options- A. 5%
- B. 10%
- C. 15%
- D. 20% Discuss
- 4. A is thrice as good a workman as B and therefore is able to finish a job in 30 days less then B. How many days will they takes to finish the job working together?
Options- A. 101/4
- B. 113/4
- C. 111/4
- D. 111/3 Discuss
- 5. A and B can do a job together in 12 days. A is 2 time as efficient as B. In how many days can B alone complete the work?
Options- A. 36
- B. 12
- C. 18
- D. 9 Discuss
- 6. A and B can complete a work in 12 days and 18 days, respectively. A begins to do the work and they work alternately one at a time for 1 days each. The whole work will be completed in how many days?
Options- A. 142/3
- B. 141/3
- C. 143/5
- D. 145/7 Discuss
- 7. A can build up a structure in 8 days and B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of structure?
Options- A. 10 days
- B. 9 days
- C. 12 days
- D. 13 days Discuss
- 8. Mr. Prashant has to build a wall 1000 meters long in 50 days. He employs 56 men but at the end of 27 days finds that only 448 meters are built. How many men must be employed so that the work may be finished in time?
Options- A. 81
- B. 38
- C. 25
- D. 58 Discuss
- 9. Mr. Modi can copy 40 pages in 10 minutes, Mr. Xerox and Mr. Modi both working together can copy 250 In 25 minutes. In how many minutes Mr. Xerox can copy 36 pages?
Options- A. 5 minutes
- B. 6 minutes
- C. 3 minutes
- D. 12 minutes Discuss
- 10. 25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men complete the remaining work in 6 days. how many days will it take for completing the entire job if only 15 women are put on the job?
Options- A. 60 days
- B. 88 days
- C. 94 days
- D. None of these Discuss
Time and Work problems
Search Results
Correct Answer: 25 days
Explanation:
Part of field grazed by 4 goats in 1 day = 1/50
Part of field grazed by 1 goat in 1 day = (1/50) x 4 = 1/200
? 4 g = 6 s [here, g = goats, and s = sheep]
? 1 s = (4/6) g = (2/3) g
Now, 2 g + 9 s = 2 g + 9 x (2/3) g
= 2 g + 6 g = 8 g
? 8 goats can graze the field in (1/8) / 200 = 25 days
Correct Answer: 55/11 days
Explanation:
4 men = 6 women = 10 children
? 1 man = 5/2 children
1 women = 5/3 children
Now, 1 couple + 5 children = 1 man + 1 women + 5 children
= (5/2) + (5/3) + 5 = 55/6 children
According to the formula
M1D1 = M2D2
? 10 x 5 = (55/6) x D2
? D2 = 60/11 days
= 55/11 days
Correct Answer: 5%
Explanation:
Work done by (x + y + z) in 1 day
= 50% = 1/2
Work done by x in 1 days = 20% = 1/5
Work done by y in 1 days = 25% = 1/4
? Work done by z in 1 day
= (1/2) - (1/5) - (1/4)
= (10 - 4 - 5)/20
= 1/20 = 5%
Correct Answer: 111/4
Explanation:
Let A takes x and B takes 3N days to finish the job.
According to the question,
3N - N = 30
? N = 30/2 = 15 days
? B's time to complete the work = 3N
= 3 x 15 = 45 days
? (A + B)'s 1 day's work
= (1/15) + (1/45) = (3 + 1)/45 = 4/45
? (A + B) will finish the work in 4/45 days
? Required time = 4/45 = 111/4
Correct Answer: 36
Explanation:
Time take by A to complete a work = N days
? Time taken by B to complete the same work = 2N days
According to the question,
(1/N) + (1/2N) = 1/12
? 3 / 2N = 1/12
? N = (3 x 12)/2 = 18
Time taken by B to complete the same work = 2N= 2 x 18 = 36 days
Correct Answer: 141/3
Explanation:
(A + B)'s 2 day's work = (1/12) + (1/18) = 5/36
(A + B)'s 14 day's work = (5/36) x 7 = 35/36
Remaining work = 1 - (35/36) = 1/36
Now, it is the turn of A .
A's 1 day's work = 1/12
? 1/36 work is done by A in 12 x (1/36) days = 1/3 days
? Total time taken = 141/3 days
Correct Answer:
Explanation:
A,s 1 days work =1/8
B's 1 day's work in breaking the building = 1/3
Now, according to the question,
A's 4 day's work = 4 x (1/8) = 1/2
Now, A's and B's 2 day's work
= 2[(1/8) - (1/3)] = 2 x (-5/24) = -10/24
Total work done in 6 days = 1/2 + (-10/24) = (12 - 10)/24 = 2/24 = 1/12
Remaining work = 1 - (1/12) = 11/12
Now, A has complete the work, so A can complete in N days.
(1/8) x N = 11/12
? N = (11 x 8) / 12
N = (11 x 2)/3 = 71/3 days
Correct Answer: 25
Explanation:
Y = 56 x (27/23) x (552/448)
=81
Extra men required =81-56
=25
Correct Answer: 6 minutes
Explanation:
Efficiency ( per minute) of Modi = 4 copies/min
Efficiency of Modi and Xerox together = 10 pages/min
? Efficiency of Xerox alone = 10 - 4 = 6 pages/min
? Mr. Xerox needs 6 min to copy 36 pages.
Correct Answer: None of these
Explanation:
25 men and 15 women can complete, a piece of work in 12 days.
? Work done by them in 8 days = 8/12 = 2/3
Remaining work is completed by 25 men in 6 days
? Time taken by 25 men to complete the whole work = 3 x 6 = 18 days
From the question
Time taken by 15 women to complete the whole work = 1 / (1/12 - 1/18)
= 1 / {(3 - 2) / 36} = 36/(3 - 2) = 36 days
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