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- Question
- P can do piece of work in 12 days, while Q alone can finish it in 8 days. With the help of R, they can finish the work in 4 days. How long will R take to finish the work alone?
Options- A. 25 days
- B. 34 days
- C. 14 days
- D. 24 days
- Correct Answer
- 24 days
ExplanationP,s 1 day's work = 1/12
Q's 1 day's work = 1/8
(P + Q)'s 1 day's work = (1/12) + (1/8)
= (2 + 3)/24
= 5/24
(P + Q + R)'s 1 day's work = 1/4
? R's 1 day's work = (1/4) - (5/24) = (6 - 5)/24 = 1/24
? R will finish the work alone in 24 days.
? Required time = 24 days - 1. 3 men can do a piece of work in 18 days. 6 children can also do that work in 18 days. 4 men and 4 children together will finish the work in how many days?
Options- A. 10
- B. 6
- C. 12
- D. 9 Discuss
- 2. 3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it take to finish the work?
Options- A. 3 days
- B. 5 days
- C. 2 days
- D. 4 days Discuss
- 3. 10 men can make a wall in 8 days. How many men required to complete the same work in half days?
Options- A. 80
- B. 100
- C. 120
- D. 160 Discuss
- 4. X can completed a job in 12 days. If X and Y work together, they can complete the job in 6 2/ 3 days, Y alone can complete the job in
Options- A. 10 days
- B. 12 days
- C. 15 days
- D. 18 days Discuss
- 5. 'A' can do a piece of work in x days and B can do the same work 3x days. To finish the work together they take 12 days. What is the value of x?
Options- A. 8
- B. 10
- C. 12
- D. 16 Discuss
- 6. A alone can do a certain job in 15 days, while B alone can do it in 10 days. A started the work and was joined by B after 5 days. The work lasted for how many days?
Options- A. 4
- B. 8
- C. 5
- D. 9 Discuss
- 7. A does 20 % less work then B. If A can complete a piece of work in
7 1/ 2h, then B can do it in
Options- A. 4 h
- B. 6 h
- C. 8 h
- D. 10 h Discuss
- 8. X can do a work in 16 days. In how many days will the work be completed by Y, if the efficiency of Y is 60% more than that of X?
Options- A. 10 days
- B. 12 days
- C. 25 days
- D. 30 days Discuss
- 9. 2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days, In how many days will 20 women finish it?
Options- A. 20
- B. 25
- C. 24
- D. 88 Discuss
- 10. 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will one women can finish the work?
Options- A. 125 days
- B. 150 days
- C. 90 days
- D. 225 days Discuss
Time and Work problems
Search Results
Correct Answer: 9
Explanation:
3 men = 6 children
? 1 man = 2 children
? 4 men + 4 children = 4 men + (4/2) men = 6 men
Given, M1 = 3, M2 = 6, D1 = 18, W1 = W2 = 1 and D2= ?
According to the formula,
M1D1W2 = M2D2W1
? 3 x 18 x 1 = 6 x D2 x 1
? D2 = 3 x 18/6 = 9 days
Correct Answer: 3 days
Explanation:
(3 x 6) men = (5 x 18) women
18 men = 90 women
? 1 man = 5 women
? 4 men + 10 women
= 4 x 5 + 10 = 30 women
Given, M1 = 5, M2 = 20, D1 = 18 ,
W1 = W2 = 1 and D2 = ?
According to the formula, M1D1W2 = M2D2W1
? 5 x 18 x 1 = 30 x D2 x 1
? D2 = 5 x 18/30 = 3 days
Correct Answer: 160
Explanation:
Given M1 = 10
D1 = 8, M2= ? and D2 = 1/2
From M1 D1 = M2 D2
? 10 x 8 = M2 x 1/2
? M2= 10 x 8 x 2
? M2 = 160
Correct Answer: 15 days
Explanation:
X's 1 day's work = 1/12
(X + Y)' s 1 day's work = 3/20
? Y's 1 day's work = (3/20) - (1/12) = 4/60 = 1/15
? Number of day's taken by Y to complete the work = 15 days
Correct Answer: 16
Explanation:
A's 1 day's work A = 1/x
B's 1 day's work B = 1/3x
(A + B)'s 1 day's work = (1/x) + (1/3x) = 4/3x
And given one day work of both A and B = 1/12
? 4/3x = 1/12
? 3x = 48
? x =16
Correct Answer: 9
Explanation:
A's 5 days' work = (1/15) x 5 = 1/3
Remaining work = 1 - (1/3) = 2/3
? (A + B)'s 1 day's work
= (1/15) + (1/10)
= (2 + 3(/30
= 5/30
= 1/6
? 2/3 work will be finished by (A + B) in (2/3) x 6 days or in 4 days .
? Total time taken = (5 + 4) days = 9 days
Correct Answer: 6 h
Explanation:
Let time taken by B = N
Efficiency ? 1/Time taken
So, if B is 100% efficient, then A is 80% efficient.
So, 80/100 = N /(15/2)
? N = 6 h
Correct Answer: 10 days
Explanation:
Ratio of time taken by X
and Y = 160 : 100 = 16 : 1
Suppose Y takes y days to the work.
Then, 1.6 : 1 = 16 : y
? y = (16 x 1)/1.6 = 10 days
Correct Answer: 20
Explanation:
8M + 12W = 4 days (whole work)
? 32M + 48W = 1 day ................ (1)
Again 6M + 14W = 5 days
? 30M + 70W = 1 day ................(2)
From eq. (1) and (2)
32M + 48W = 30M +70W
? 2M = 22W
? 1M = 11W
Now, 30M + 70W = 1 day
(30 X 11 X 70)W = 1 day
Therefore 400W requires 1 day to complete the whole work.
Thus 20W needs 20 days to complete the whole work.
Correct Answer: 225 days
Explanation:
? One man alone finishes te work in 100 days.
? 10 men can finish the work in 10 day.
? 15 women can finish work in one days = 1/6 - 1/10 = 1/15 work
? 15 women finish the whole work in 15 days
? 1 women finishes the whole work in = 15 x 15 = 225 days
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