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- Question
- A man, a women and a boy can do a job in 3, 4 and 12 days , respectively. How many boys must assist one man and one women to complete the job in one and a half days?
Options- A. 12
- B. 6
- C. 3
- D. 1
- Correct Answer
- 1
ExplanationPortion of work completed by one man in 11/2 days.
i.e., 3/2 days = 3/(2 x 3) = 1/2
Portion of work completed by one women in 11/2 days.
i.e., 3/2 days = 3/(2 x 4) = 3/8
? Portion of work completed by boys = 1 - (1/2 + 3/8) = 1/8
Now, portion of work completed by each boy in 3/2 days = 3/(2 x 12) = 1/8
Hence, only one boys would be required. - 1. Pipes A and B can fill a tank in 20 h and 30 h, respectively and pipe C can empty the full tank in 40 h. If all the pipes are opened together, how much time will be needed to make the tank full?
Options- A. 161/7 h
- B. 171/7 h
- C. 181/7 h
- D. 191/7 h Discuss
- 2. A man is paid ? 5 per h for regular working day and ? 8 per h overtime. A regular working day has 8 h and a regular week has 5 working days. If he earns ? 920 in 4 weeks, then what is the total number of hours that he worked assuming that he was present on all regular working days?
Options- A. 200 h
- B. 180 h
- C. 175 h
- D. 160 h Discuss
- 3. The efficiency of Romil is twice that of Sanjay and he can finish a work in 4 h less than the time taken by Sanjay. If both of them work together they can finish the same work in?
Options- A. 8 h
- B. 3 h
- C. 8 / 3 h
- D. 4 / 3 h Discuss
- 4. Working together P and Q can do a job is 6 days. Q and R can do the same job in 10 days while P and R can do it in 5 days. How long will it take, if all of them work together to complete the job?
Options- A. 42/7 days
- B. 43/7 days
- C. 44/7 days
- D. 45/7 days Discuss
- 5. A women can weave a basket in 6 days. But with the help of her daughter, she can complete the work in 4 days. In what time can the daughter alone do the work?
Options- A. 12 days
- B. 16 days
- C. 8 days
- D. 10 days Discuss
- 6. A leak in the bottom of a tank can empty the full tank in 6 h. An inlet pipe fills water at the rate of 4 L in a min. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 h. Find the capacity of the tank?
Options- A. 5000 L
- B. 5670 L
- C. 5700 L
- D. 5760 L Discuss
- 7. A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. Find the number of days in which A alone can do the same job?
Options- A. 20 days
- B. 30 days
- C. 45 days
- D. 60 days Discuss
- 8. Two friend A and B working together completed a work in 26 days. Their skills of doing the work are in the ratio 8 : 5. How many days will B take, if engaged alone?
Options- A. 673/5 days
- B. 421/4 days
- C. 563/5 days
- D. 642/3 days Discuss
- 9. A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. In how many days, B alone will be able to complete the same work?
Options- A. 80 days
- B. 84 days
- C. 88 days
- D. 92 days Discuss
- 10. A and B can do a piece of work in 72 days, B and C can do it in 120 days, A and C can do it in 90 days. In what time can A alone do it?
Options- A. 60 days
- B. 90 days
- C. 115 days
- D. 120 days Discuss
Time and Work problems
Search Results
Correct Answer: 171/7 h
Explanation:
Net part filed in 1 h = (1/20 + 1/30 - 1/40) = 7/120
Hence, the tank will be full in 120/7 = 171/7 h
Correct Answer: 175 h
Explanation:
Number of regular hours during 4 weeks = 8 x 5 x 4 = 160
Amount paid for regular working hours = 160 x 5 = ? 800
Balance left = (920 - 800) = ? 120
So, ? 120 is paid for his over time at ? 8 per h.
? Total number of overtime working hours = 120/8 = 15 h
Total working hours = (160 + 15) = 175 h
Correct Answer: 8 / 3 h
Explanation:
As the efficience of Romil is twice that of Sanjay, Romil, will take x h for completeion of the work, when Sanjay is taking 2x h.
Given, 2x - x = 4
? x = 4
Hence, they take = 1/(1/4 + 1/8) = 8/3 h
Correct Answer: 42/7 days
Explanation:
(P + Q)'S 1 day's work = 1/6
(Q + R)'s 1 day's work = 1/10
(P + R)'s 1 day's work = 1/5
On adding, 2 (P + Q + R)'s 1 day's work = 1/6 + 1/10 + 1/5 = 7/15
( P + Q + R)'s 1 day's work = 7/30
? (P + Q + R)'s can do the entire work in = 30/7 = 42/7 days
Correct Answer: 12 days
Explanation:
Women's 1 day's work = 1/6
(Women + Daughter)'s 1 day's work = 1/4
? Daughter's 1 day's work = 1/4 - 1/6 = 1/12
So, the daughter can do the work in 12 days.
Correct Answer: 5760 L
Explanation:
Efficiency of the leak = 1/6
Combined efficiency of leak and inlet pipe
So, efficiency of inlet pipe = 1/6 - 1/8 = (4 - 3)/24 = 1/24
Inlet pipe can fill the tank in 24 h, at rate of 4 L/min.
? Capacity = 24 x 60 x 4 = 5760 L
Correct Answer: 30 days
Explanation:
Work done by A and B in one day = 1/12
Work done by B and C in one day = 1/15
Work done by C and A is one day = 1/20
On adding all these,
2(A + B + C)'s work of one day = 1/12 + 1/15 +1/20 = 1/5
? (A + B + C)'s one day work = 1/10
? A' s one day work = (A + B + C)'s one day work - (B + C )'s one day work
? A's one day work 1/10 - 1/15 = 1/30
Hence, A can do this work in 30 days.
Correct Answer: 673/5 days
Explanation:
Skill ratio of A and B = 8 : 5
So, the time taken by A and B 5W and 8W, respectively.
According to the question, 1/8W + 1/5W = 1/26
? W = (13 x 26)/40
Now, time taken by B is 8W = 8 x 13 x 26/40
= 673/5 days.
Correct Answer: 84 days
Explanation:
In this question, A and B did the work for 35 days to complete it. A can complete the work in 60 days.
So, A did/A can + B did/B can = 1
? 35/60 + 35/x = 1
? x = 84 days
Correct Answer: 120 days
Explanation:
Combined efficiency of A and B = 1/72 ....(i)
Combined efficiency of B and C = 1/120 ....(ii)
Combined efficiency of A and C = 1/90 ....(iii)
On adding Eqs. (i), (ii) and (iii), we get
2(A + B + C) = 1/72 + 1/120 + 1/90 = (5 + 3 + 4)/360
= 12 / 360 = 1 / 30
? A + B + C = 1/60 .....(iv)
i.e Combined efficiency is 1/60 or we can say together A, B and C can complete the work in 60 days.
On subtracting Eq. (ii)from Eq. (iv), we get
Efficiency of A = Combined efficiency of A, B and C - Combined efficiency of B and C
= 1/60 - 1/120 = 1/120
Hence, A alone can do it in 120 days
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