Time and Work Aptitude Questions and Answers
This section focuses on "Time and Work" in Quantitative Aptitude. These Multiple Choice Questions (mcq) should be practiced to improve the Quantitative Aptitude skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.
1. 6 boys and 5girls can do a job in 8 days. When 7 boys and 10 girls work on the same job, the work gets
completed in 5 days. How many days will a boy take to do the job, if he works alone on it?
A. 25
B. 50
C. 75
D. 100
View Answer
Ans : D
Explanation: Let the amount of work done by a boy in a day be 'B' and the amount of work done by a girl in a day be 'G'.
Therefore, 6 boys and 5 girls will do 6B+5G amount of work in a day.
If 6 boys and 5 girls complete the entire work in 8 days, they will complete 1/8 of the work in a day.
6B+5G = 1/8-----(1)
7B+10G=1/5-----(2)
Solving eqn (1) and eqn (2), we get
12B-7B=1/4-1/5
5B=1/20
B=1/100
i.e. a boy does 1/100th of the work in a
2. X does half as much work as Yand Z does half as much work as X and Y together. If Z alone can finish the
work in 120 days, then together ,all will finish the work in ?
A. 20
B. 30
C. 40
D. 50
View Answer
Ans : C
Explanation: Z alone can finish the work in 120 days.
As given Z does half as much work as X and Y together
=> (X + Y) can do it in 60 days
(X+ Y)s 1 days wok = 1/60.
X's 1 days work : Y's 1 days Work = 1/2 : 1 = 1:2(given)
X's 1 day’s work = (1/60) x (1/3) = (1/180)
X's 1 days work = (1/60) x (2/3) = 1/90
(X+Y+Z)'s 1 day's work = (1/180) + (1/90) + (1/120)
=(2+4+3)/360
=9/360
= 1/40
All the three together will finish it in 40 days
3. P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after
8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in.
A. 60
B. 50
C. 40
D. 30
View Answer
Ans : B
Explanation: Work done by P,Q & R in 8 days = 1/20 * 8 =2/5
Remaining work = (1 – 2/5) = 3/5
Now 3/5 work is done by Q & R in 20 days
Whole work will be done by Q & R in(20*5/3) =100/3 days
(P+Q+R)'s 1 day work = 1/20
(Q+R)'s 1 day work = 3/100
P's 1 day work =(P+Q+R)'s 1 day work – (Q+R)'s 1 day work
=1/20 – 3/100 => 5-3/100 => 2/100 => 1/50
P alone could complete the work in 50 days.
4. M do a piece of work in 45 days and N can finish it in 40 days. They work together for 5 days and then M
leaves. In how many days will N finish the remaining work?
A. 30 and 5/9 days.
B. 30 and 7/9 days.
C. 30 and 4/9 days.
D. 30 and 8/9 days.
View Answer
Ans : A
Explanation: Time taken by M to finish the work = 45 days.
M'ls 1 day’s work = 1/45
Time taken by N to finish the work = 40 days.
N'ls 1 day'ls work = 1/40
(M + N)'ls 1 day'ls work = (1/40+1/45) = (9+8)/360=17/360
(M + N)'ls 5 day'ls work (5 × 17/360) = 85/360=17/72
Remaining work (1 – 17/72) = 55/72
Now, 55/72 work is done by N in 1 day
Therefore, 55/72 work will be done by N in (55/72*40) days = 30and 5/9 days.
Hence,
5. Arfath is thrice as good workman as deekshith and together they finish a piece of work in 27 days. In how
many days will arfath alone finish the work?
A. 3
B. 6
C. 9
D. 12
View Answer
Ans : C
Explanation: Arfath's 1 days work = 3
Deekshith 1 day's work = 1
Arfath 1 day's work : Deekshith 1 days work = 3:1
(Arfath + deekshith )'s 1 day's work = 1/27
Divide 1/27 in the ratio 3:1
Arfath's 1 days work = 1/27 *3/1 = 3/27
=1/9
Hence Arfath's alone can finish the work in 9 days
6. Adam and Smith are working on a project. Adam takes 18 hrs to type 108 pages on a computer, while
Smith takes 15 hrs to type 120 pages. How much time will they take, working together on two different
computers to type a project of 360 pages?
A. 23 hrs 24 min
B. 45 hrs 42 min
C. 25 hrs 42 min
D. 42 hrs 45 min
View Answer
Ans : C
Explanation: Number of pages typed by Adam=108
Number of pages typed by Adam in 1 hour = 108/18=6
Number of pages typed by Smith =120
Number of pages typed by Smith in 1 hour = 120/15 =8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 360 pages,
= (360 * 1/14) =25 hrs 42 min
7. 90 persons can complete a job in 32 days. 12 days after they started working, 60 more persons joined
them. How many days will they now take to complete the remaining work?
A. 10
B. 12
C. 14
D. 16
View Answer
Ans : B
Explanation: (90 * 32) persons can complete the work in 1 day.
1 person 1 day's work = 1/(90 *32) i.e., 1/2880
90 person's 12 day's work = 1/32 * 12 = 3/8
Remaining work =(1- 3/8) = 5/8
150 persons 1 day work = 150 / 2880 => 5/96
Now 5/96 work is done by them in 1 day .
Therefore 5/8 work is done by them, => (96/5*5/8) => 12 days.
8. X,Y and Z can do a certain job in 72,108 and 144 days respectively. They started the job but X left 16
days before the completion of the job while Y left 24 days before the completion. The number of days for
which Z worked is
A. 12 days
B. 24 days
C. 36 days
D. 48 days
View Answer
Ans : D
Explanation: Suppose the work was finished in 'a' days
Then X's (a – 16) day's work + Y's (a – 24) days + Z's a days work = 1
(a-16)/72 + (a-24)/108 + a/144 =1
lcm of 72,108,144 is 432
(6(a-16) + 4(a-24) +3a) /432 = 1
13a - 192 = 432
13a = 624 => a =48
Therefore Z worked in 48 days.
9. Karthik is 2 times as good workman as Raghu and together they complete a piece of work in 42 days. The
number of days taken by Karthik alone to finish the work is.
A. 55 days
B. 60 days
C. 63 days
D. 67 days
View Answer
Ans : C
Explanation: Karthik's 1 day work : Raghu's 1 day work = 2:1
(Karthik + Raghu)'s 1 day work = 1/42
Divide 1/42 in the ratio 2:1
Therefore karthik's 1 day work = 1/42 * 2/3
=1/63
Hence karthik alone can finish the work in 63 days.
10. Vinay can do a work in 28 days. Vikram is 75% more efficient than vinay. The number of days taken by
vikram to do the same piece of work.
A. 12 days
B. 14 days
C. 16 days
D. 18 days
View Answer
Ans : C
Explanation: Given a certain work done by vinay = 28 days
Efficient percentage of vikram = 75%
Ratio of time taken by vinay and vikram = 175 : 100 = 7:4
Suppose vikram takes ‘x’ days to do the work.
7:4 :: 28 : x
X= 4*4 = 16 days
So vikram takes 16 days to do the work.
11. Arul can do a certain work in 9 days while Ravi can do the same work in 7 days. Both of them complete
the work together and get Rs.288. what is the share of Arul?
A. Rs.124
B. Rs.126
C. Rs.125
D. Rs.128
View Answer
Ans : B
Explanation: Arul's 1 day work = 1/9
Ravi's 1 day work = 1/7
Arul's salary : Ravi's salary = Arul's 1 day work : Ravi's 1 day work
= 1/9 : 1/7
= 7 :9
Arul’s share = Rs.(7/16 *288) => Rs.126
12. 6 male , 8 female and 12 children can complete a work in 14 days .a female does twice the work of a
male does and a child does half the work a male does . how many female alone can complete this work in 14
days?
A. 13
B. 14
C. 15
D. 16
View Answer
Ans : B
Explanation: Let 1 female 's 1 day work= x
Then 1 male's 1 day work =x/2
And 1 child's 1 day work =x/4
So 6x/2 + 8x +12x/4 =1/14
3x+8x+3x = 1/14
14x = 1/14
X=196
1 female alone can complete the work in 196 days
So, to complete the work in 14 days number of female required = 14.
13. 8 male can finish a work in 6 days.12 female can complete the same work in 9 days. 6 male and 4 female
started working and after 4 days 3 more female joined them. How many days will they now take to complete
the remaining work?
A. 74/41
B. 75/41
C. 76/41
D. 77/41
View Answer
Ans : C
Explanation: 1 male's 1 day work = 1/48
1 female's 1 day work = 1/108
Work done in 4 days = 4 (6/48 +4/108) => 35/54
Remaining work = (1 – 35/54) = 19/54
(6 male + 7 female)'s 1 day work = 6/48 + 7/108 => 41/216
Now 41/216 work is done by them in 1 day
Therefore time taken = 216/41 * 19/54 = 76/41 days
14. A sum of amount of money is adequate to pay peter’s salary for 42 days and Harish’s salary for 56 days.
The same money is adequate to pay the salary of both for.
A. 24 days
B. 36 days
C. 28 days
D. 32 days
View Answer
Ans : A
Explanation: Let the total money be Rs.x
Peter's 1 day salary = Rs. x/42
Harish 1 day salary = Rs. x/56
(peter+harish)'s 1 day salary = Rs(x/42+x/56) => x/24
Money is adequate to pay the salary of both for 24 days
15. A cistern can be filled in 25 minutes. There is a leakage which can empty it in 50 minutes. In how many
minutes cistern can be filled?
A. 20 mins
B. 25 mins
C. 45 mins
D. 50 mins
View Answer
Ans : D
Explanation: Efficiency of filling faucet= 100/25 = 4%
Efficiency of leakage faucet = 100/50= 2%
Net filling efficiency = (4-2)% => 2%
So, t cistern can be filled in = 100/2 => 50 minutes
16. Rakchita can do a piece of work in 28 days, while Shreya can do the same work in 42 days.They started
the work together but 6 days before the completion of the work, Rakchita left the work. The total number of
days to complete the work is
A. 4
B. 5
C. 6
D. 3
View Answer
Ans : C
Explanation: 6 days before the completion of the work Rakchita left the work means in last 6 days only Shreya has worked alone
So, in last 6 days worked done by Shreya = 6*1/42=6/42=1/7
So, the rest = 1-1/7 =6/7
So 6/7work was done by Rakchita
and Shreya worked together=6/7*70/10 => 420/70 => 6 days
17. Pump A can fill the empty bunker in 6 hours, but due to a leak in the bottom it is filled in 7.5 hours, if the
bunker is full and then Pump A is closed then in how many hours the leak can empty it?
A. 30 hrs
B. 45 hrs
C. 50 hrs
D. 35 hrs
View Answer
Ans : A
Explanation: Efficiency of A = 16.666%
Effective of leak = 13.333%when there is leakage
So, efficiency of leakage =( Efficiency of A- Effective of leak)
=16.666%-13.333%= 3.333%
It means due to leakage a full bunker will be empty in 30 hours
18. 48 boys complete a work in 36 days. After they have worked for 24 days, 24 more boys join them. How
many days will they take to complete the remaining work?
A. 8 days
B. 3 days
C. 6 days
D. 4 days
View Answer
Ans : A
Explanation: 1 boy's 1 day's work = 1/(36*48) => 1/1728
48 boy's 24 day's work=48*24/1728=2/3
Remaining work = 1-2/3=1/3
72 boy's 1 day's work =72/1728=1/24
1/24 work is done by them in 1 day.
So, 1/3 work is done by them in 24/3= 8 days
19. P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn
Rs.164. The daily earning of R is :
A. Rs. 80
B. Rs. 40
C. Rs. 50
D. Rs. 60
View Answer
Ans : D
Explanation: (P+Q+R)'s earning = Rs. 420
(P+R)'s earning=Rs 296
(Q+R)'s earning=Rs 164
Q's daily earning = Rs. (420 - 296) = Rs.124
P's daily earning = Rs. (420 - 164) = Rs.236
Now (P+Q)'s earning=Rs 360
R's daily earning = Rs. [420 - 360] = Rs.60
20. A and B together can complete a work in 24 days. A alone can complete it in 40 days. If B does the work
only for half a day daily, then in how many days A and B together will complete the work?
A. 22 days
B. 24 days
C. 26 days
D. 28 days
View Answer
Ans : B
Explanation: B's 1 day's work = (1/24 -1/40) => (5-3)/120 => 2/120 => 1/60c
Now, (A + B)'s 1 day's work = (1/40 +1/60)
=(3+2)/120 => 5/120
So, A and B together will complete the work in 120/5 = 24 days.
Discussion