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- Question
- '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
- Correct Answer
- 16
ExplanationA'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 - 1. If 3 men and 4 boys can do a piece of work in 8 day, then 6 men and 8 boys can do the same work in?
Options- A. 2 days
- B. 4 days
- C. 6 days
- D. 16 days Discuss
- 2. A and B can do a piece of work in 6 and 12 days, respectively. They (both) will complete the work in how many days?
Options- A. 9 days
- B. 18 days
- C. 6 days
- D. 4 days Discuss
- 3. Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options- A. 18 days
- B. 21 days
- C. 3 days
- D. 6 days Discuss
- 4. A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. A alone can finish the work in?
Options- A. 15 days
- B. 18 days
- C. 20 days
- D. 25 days Discuss
- 5. A can complete a piece of work in 18 days and B can complete the same work in half time taken by A. Then, working together, what part of the same work they can complete in a day?
Options- A. 1/6
- B. 1/9
- C. 2/5
- D. 2/7 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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 Discuss
Time and Work problems
Search Results
Correct Answer: 4 days
Explanation:
Let the men do the work in a days and the boys in b days.
? (3/a) + (4/b) = 1/8 ..... (i)
Now, 6/a + 8/b = 2[(3/a) + (4/b)] = 2 x 1/8 = 1/4
So, 6 men and 8 boys can do the same work in 4 days.
Correct Answer: 4 days
Explanation:
A's 1 day's work = 1/6
B's 1 day's work = 1/12
(A + B)'s 1 day's work = 1/6 + 1/12
= (2 + 1)/12 = 3/12 = 1/4
Hence, both will complete the work in 4 days.
Correct Answer: 18 days
Explanation:
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days
Correct Answer: 20 days
Explanation:
(A + B)'s 1 days work = 1/12
B's 1 days work = 1/30
? A's 1 days work = 1/12 - 1/30 = (5 - 2)/60 = 1/20
? A alone can finish the work in 20 days.
Correct Answer: 1/6
Explanation:
A's 1 day's work = 1/18
B's 1 day's work = 1/9
(A + B)'s 1 day's work = 1/9 + 1/18 = 3/18 = 1/6
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: 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: 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: 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: 24 days
Explanation:
P,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
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