Time & Work – Section2

Question #1: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in:
A) 2 days
B) 1 1/2 days
C) 1/4 day
D) 1 day

Option 'D' : 1 day
Hint:
The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.

Question #2: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is:
A) 7 days
B) 8 days
C) 9 days
D) 6 days

Option 'B' : 8 days
Hint:
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.
That is, the required No. of days = 10 × 40/50 = 8 days.

Question #3: If 5 people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in :
A) 25 days
B) 26 days
C) 27 days
D) 28 days

Option 'A' : 25 days
Hint:
That is, half the work done = 5 × 15 × ½
Then, 5 × 15 × ½ = 3 × No. days required ×1/2
i.e. 5 × 15 = 3 × No. days required
No. days required = 5 × 15/3 = 25 days.

Question #4: If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be :
A) 13 days
B) 14 days
C) 15 days
D) 16 days

Option 'C' : 15 days
Hint:
5 × 9 = 3 × No. of days
No. of days = 5 × 9/3 = 15 days.

Question #5: 16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?
A) 10 days
B) 20 days
C) 30 days
D) 40 days

Option 'A' : 10 days
Hint:
16 men = 20 women
Therefore, 1 women = 16/20 men = 4/5 men
15 women = 4/5 × 15 men = 12 men
28 men + 15 women = 28 men + 12 men = 40men
1 work done by men = 16 × 25
16 × 25 = 40 × No. of days
No. of days = 16 × 25/40 = 10 days.

Question #6: If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work?
A) 15
B) 16
C) 17
D) 18

Option 'B' : 16
Hint:
1 work done = 12 × 24
Then, 12 × 24 = 18 × No. of days
No. of days = 12 × 24/18 = 16.

Question #7: If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is :
A) 12
B) 11
C) 10
D) 9

Option 'A' : 12
Hint:
8 men = 12 women
1 woman = 8/12 men = 2/3 men
4 women = 2/3 × 4 men = 8/3 men
4 men + 4 women = 4 + 8/3 men = 20/3 men
1 work done = 8 × 10
8 × 10 = 20/3 × No. of days
No. of days = 8 × 10 × 3/20 = 12 days.

Question #8: 39 men can repair a road in 12 days working 5 hours a day. In how many days will 30 men working 6 hours per day complete the work?
A) 16
B) 15
C) 14
D) 13

Option 'D' : 13
Hint:
1 work done = 39 × 12 × 5
39 × 12 × 5 = 30 × 6 × No. of days
No. of days = 39 × 12 × 5/ 30 × 6 = 13 days.

Question #9: If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?
A) 4 days
B) 5 days
C) 6 days
D) 7 days

Option 'C' : 6 days
Hint:
4 men = 6 boys
Then, 1 boy = 4/6 men = 2/3 men
11 boys = 2/3 × 11 men = 22/3 men
Then, 6 men + 11 boys = 6 + 22/3 men = 40/3 men
1 work done = 4 men × 20days
That is, 4 × 20 = 40/3 × No. of days
No. of days = 4 × 20 × 3/40 = 6 days

Question #10: A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in :
A) 6 days
B) 7 days
C) 8 days
D) 9 days

Option 'A' : 6 days
Hint:
If A and B together can do a piece of work in x days and A alone can do the same work in y days, then B alone can do the same work in x y/ y – x days.
Therefore, the number of days B will take to finish the work = 4 × 12/ 12 – 4 = 48/8 = 6 days.

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