This Article consist of most important questions of ” Time and Work Problems ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.
Question : 1 Kim can do a work 3 days while David can do the same work . What amount them finish the work together and get Rs.150. What is the share of Kim?
A. 30
B. 60
C. 70
D. 75
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Correct Answer : B
Explanation :
Kim’s wages : David wages = Kim’s 1 day’s work: David 1 day’s work = 1/3 : 1/2 = 2:3
Therefore Kim’s share = Rs. {2/5 *150} = Rs.60
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Question : 2 A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and Band C together 8/23 of the work. What amount should A be paid?
A. Rs.315
B. Rs.345
C. Rs.355
D. Rs.375
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Correct Answer : B
Explanation :
work done by A = {1 – 8/23} = 15/23
Therefore : A:{B+C} = 15/23 : 8/23 = 15/8
SO, A’s share = Rs. {15/23 * 529} = Rs. 345.
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Question : 3 A and B together can do a piece of work in 12 days . which B and C together can do in 16 days . After A has been working at it for 5 days and B for 7 days, C finished it in 13 days . In how many days C alone will do the work.
A. 16
B. 24
C. 36
D. 48
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Correct Answer : B
Explanation :
A’s 5 days work + B’s 7 days work + C’s 13 days work=1
Therefore : {A+B}’s 5 days work + {B+C}’s 2 days work + C’s 11 days work = 1 days
Therefore : 5/12 + 2/16 + C’s 11 days work = 1
C’s 11 days work = 1 – {5/12} + {2/16} = 11/24
Therefore : C’s 1 days work {11/24} * {1/11} = 1/24
C alone can finish the work in 24 days
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Question : 4 5 men and 2 boys working together can do four times as much work as man and a boy. Working capacities of a womenand a boy are in the ratio:
A. 1:2
B. 2:1
C. 1:3
D. 3:1
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Correct Answer : B
Explanation :
Let 1 men’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
Then , 5x + 2y = 4 {x + y}
x = 2y
x/y = 2/1
2 : 1
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Question : 5 A can finish a work in 18 days and B can do the same work in half the time takes by A. Then, working together , What part of the same work they can finish an a days .
A. 1/6
B. 1/9
C. 2/5
D. 2/7
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Correct Answer : B
Explanation :
A’s 1 days work = 1/18 and B’s 1 DAYS WORK = 1/9
Therefore {A+B}’s 1 days work = {1+18}+{1/9} = 1/6.
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Question : 6 A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
A. 1/4
B. 1/10
C. 7/15
D. 8/15
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Correct Answer : D
Explanation :
A’s 1 day’s work = 1/15
B’s 1 day’s work = 1/20
(A + B)’s 1 day’s work = (1/15 + 1/20) = 7/60
(A + B)’s 4 day’s work = ( 7/60 x 4 ) = 7/15
Therefore, Remaining work = ( 1 – 7/15 ) = 8/15
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Question : 7 Sakshi can do a piece of work in 20 days . Tanya in 25% more efficient then sakshi . The number of days taken by tamya to do the same piece of work is:
A. 15 days
B. 16 days
C. 18 days
D. 25 days
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Correct Answer : A
Explanation :
Ratio of same taken by sakshi and Tanya = 125 : 100 5:4
supoose Tanya taken x days to do work .
5:4 20:x = {4 * 20/5}
x = 16 days
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Question : 8 A does A work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?
A. 5 days
B. 6 days
C. 8 days
D. 9
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Correct Answer : B
Explanation :
A’s 1 days work = 1/10 and B’s 1 days work= 1/15
Therefore {A+B}’s 1 days work = {1/10}+}{1/15} = 1/6
so, both together will finish the work in 6 days.
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Question : 9 A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is le
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 12 days
B. 15 days
C. 16 days
D. 18 days
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Correct Answer : B
Explanation :
A’s 2 day’s work = (1/20) x 10 = 1/10
(A + B + C)’s 1 day’s work =
{(1/20) + (1/30) + (1/60)} = 6/60 = 1/10
Work done in 3 days = {(1/10) + (1/10)} = 1/5
Now, 1/5 work is done in 3 days.
Whole work will be done in (3 x 5) = 15 days.
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Question : 10 12 men a complete a work in 9 days. After they have worked for 6 days , 6 more men join them. How many days take to complete the remaining work?
A. 2 days
B. 3 days
C. 4 days
D. None of these
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Correct Answer : A
Explanation :
1 men’s 1 day’s work = 1/108
12 men’s 6 day’s work = {1/9 * 6} = 2/3 remaining work = {1 – 2/3} = 1/3
18 men’s 1 day’s work {1/108 * 18} = 1/6
1/6 work is done by them in 1 day.
Therefore 1/3 work is done by them in {6 * 1/3} =
2 days
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