Maths Quiz On Time And Work

Q. 1. Six men or tern boys can do a piece of work in fifteen days. How long would it take for 12 men and 5 boys to do the same piece of work?
(a) 6 days
(b) 28 days
(c) 25 days
(d) 7 days
(e) None of these


Q. 2. If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?
(a) 63
(b) 28
(c) 252
(d) 7
(e) None of these

Q. 3. 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will work get completed?
(a) 6
(b) 7 2/3
(c) 6 2/3
(d) 6 1/3
(e) None of these

Q. 4. Three men, four women and six children can complete a work in 7 days . A woman does double the work a man does and a child does half the work a man does. How many women can complete this work in 7 days?
(a) 8
(b) 7
(c) 12
(d) 10
(e) None of these

Q. 5. A sum of money is sufficient to pay P’s wages for 25 days or Q’s wages for 30 days. The money is sufficient to pay the wages of both for
(a) 13 5/11 days
(b) 13 days
(c) 13 6/11 days
(d) 13 7/11 days
(e) None of these

Q. 6. A certain number of men complete a piece of work in 50 days. If there were 8 men more the work could be finished in 10 days less. How many men were originally there?
(a) 40
(b) 50
(c) 32
(d) 25
(e) None of these

Q. 7. A and B together finish a work in 30 days they worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. B alone can finish the work in
(a) 48 days
(b) 50 days
(c) 54 days
(d) 60 days
(e) none of these

Q. 8. A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work together and are forced to leave after 2 days. The time taken to complete the remaining work is
(a) 13 days
(b) 10 days
(c) 9 days
(d) 6 days
(e) None of these

Q. 9. If 40 men working 9 hours a day can finish a work in 21 days, in how many days will 27 men working 10 hours a day do the same work?
(a) 20 days
(b) 28 days
(c) 29 days
(d) 25 days
(e) None of these


Q. 10. 8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work?
(a) 8
(b) 15
(c) 9
(d) 12
(e) None o f these

Answer:-
1. (a) 6 days
Explanation:
6 men = 10 boys
Then, 1 boy = 6/10 men = 3/5 men
Then, 5 boys = 3/5 × 5 = 3 men
12 men + 5 boys = 15 men
1 work done = 6 men × 15 days
Therefore, 6 × 15 = 15 × ? days
? days = 6 × 15/15 = 6 days. Ans.

2. (a) 63

Explanation:
4 workers in 3 days make 21 toys,
Then, 1 worker can make 21/4 toys in 3 days
Therefore, No. of toys made by 12 workers in 3 days = 21/4 × 12 = 63 toys. Ans.

3. (c) 6 2/3
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Here, men’s working days can be taken as A and that of women as B
Then, 15 × 12/27 = 6 2/3 days.Ans.

4. ( b) 7

Explanation:
3 men = 3/2 women
1 child = 1/2/2 = ¼ woman
Then, 6 children = ¼ × 6 = 6/4 = 3/2 women
Then, 3/2 women + 4 women + 3/2 women = 7 women
7 women does the work in 7 days.
Therefore, the No. of women required to finish the work in 7days = 7. Ans

5. (d) 13 7/11
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Here, wages can be taken as days,
Then, 25 ×30/ 55 = 13 7/11 days. Ans.

6. (c) 32
Explanation:
Let the original No. of men = x
Then, I work done = 50x
Then, 50x = (x + 8) 40
50x = 40x + 320
10 x = 320
x = 320/10 = 32 men. Ans.

7. (d) 60 days
Explanation:
(A + B)’s 1 days work = 1/30
A+B ‘s 20 days work = 1/30 × 20 = 2/3
Remaining work = 1 -2/3 = 1/3
1/3 of the work is done by A in 20 days
Therefore, A can complete the full work in 3 × 20 = 60 days
So, A’s 1 day’s work = 1/60
Then, B’s 1 day work = 1/30 – 1/60 = 1/60
Therefore, B can complete the work in 60 days. Ans.

8. (d) 6 days
Explanation:
A’s 1 day work = 1/9
B’s 1 day work = 1/10
C’s 1 day work = 1/15
B + C ‘ s 1 day work = 1/10 + 1/15 = 1/6
B + C’s 2 day’s work = 1/6 × 2 = 1/3
The work remaining = 1 – 1/3 = 2/3
A can do the full work in 9 days.
So, the remaining 2/3 of the work is done by A in 2/3 × 9 days = 6 days. Ans.

9. (b) 28 days
Explanation:
That is, 1 work done = 40 × 9 × 21
Then, 40 × 9 × 21 = 27 × 10 × ? days
Therefore, ? days = 40× 9 × 21 /27 × 10 = 28 days. Ans.

10. (d) 12
Explanation:
8 children = 4men
Then, 4 + 12 = 16 men completes the job in 9 days
Then, 16 × 9 = 12 × ? days
? days = 16 × 9/12 = 12 days. Ans.