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- Question
- 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
- Correct Answer
- 4 days
ExplanationA'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. - 1. 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
- 2. 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
- 3. 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
- 4. 15 men complete a work in 16 days If 24 men are employed then the time require to complete that work will be
Options- A. 7 days
- B. 8 days
- C. 10 days
- D. 12 days Discuss
- 5. A and B together can do a work in 24 days. B alone does its 1/3 part in 12 days. How long will A alone take to do the remaining work?
Options- A. 48 days
- B. 36 days
- C. 24 days
- D. 72 days Discuss
- 6. 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
- 7. '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
- 8. 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
- 9. 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
- 10. 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
Time and Work problems
Search Results
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: 10 days
Explanation:
let the work done be 1 work.
Here M1=15, D1=16 W1=W2 =1
M2 =24 D2= ?
? According to the formula
M1 D1 W2 = M2 D2 W1
? 15 x 16 x 1 = 24 x D2 X 1
? D1 = 15 X 16/24 = 10
Therefore 10 days are required to complete the work
Correct Answer: 48 days
Explanation:
Work done by (A + B) in 1 day = 1/24
Work done by B alone in 1 day = 1/(3 x 12) = 1/36
? Work of A for 1 day = 1/24 - 1/36 = 1/72
After 12 days the remaining work = 1 - 1/3 = 2/3
? 1/72 work is done by A in 1 day
? 2/3 work is done by A in (1 x 72)/(1 x 2/3) = 48 days
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: 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: 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
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