Time & Work Mcqs - Set 2

1)   Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?

a. Rs.1104
b. Rs.1000
c. Rs.934
d. Rs.1210
Answer  Explanation 

ANSWER: Rs.1104

Explanation:
Assume that cost of keeping a cow for 1 day = c ,

cost of keeping a goat for 1 day = g
Cost of keeping 20 cows and 40 goats for 10 days = 460

Cost of keeping 20 cows and 40 goats for 1 day = 460/10 = 46

=> 20c + 40g = 46

=> 10c + 20g = 23 —(1)

Given that 5g = c
Hence equation (1) can be written as 10c + 4c = 23 => 14c =23

=> c=23/14
cost of keeping 50 cows and 30 goats for 1 day

= 50c + 30g

= 50c + 6c (substituted 5g = c)

= 56 c = 56×23/14

= 92
Cost of keeping 50 cows and 30 goats for 12 days = 12×92 = 1104


2)   P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?

a. 7
b. 8
c. 9
d. 6
Answer  Explanation 

ANSWER: 6

Explanation:
Let P takes x days to complete the work
Then Q takes x/2 days and R takes x/3 days to finish the work
Amount of work P does in 1 day = 1/x
Amount of work Q does in 1 day = 2/x
Amount of work R does in 1 day = 3/x
Amount of work P,Q and R do in 1 day = 1/x + 2/x + 3/x = 1/x (1 + 2 + 3) = 6/x
6/x = 2
=> x = 12
=> Q takes 12/2 days = 6 days to complete the work


3)   3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?

a. 50
b. 30
c. 40
d. 13
Answer  Explanation 

ANSWER: 40

Explanation:
Work done by 4 men and 6 women in 1 day = 1/8
Work done by 3 men and 7 women in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 —(1)
3m + 7w = 1/10 —(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 women can do in a day = 10 × (1/400) = 1/40
Ie, 10 women can complete the work in 40 days


4)   P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?

a. 10 days
b. 14 days
c. 15 days
d. 9 days
Answer  Explanation 

ANSWER: 15 days

Explanation:
No explanation is available for this question!


5)   A tank can be filled by a pipe in 20 min. and by another pipe in 60 min. Both the pipes are kept open for 10 min. and then the first pipe is shut off. After this, the tank will be completely filled in__________?

a. 10 min
b. 20 min
c. 30 min
d. 40 min
Answer  Explanation 

ANSWER: 20 min

Explanation:
No explanation is available for this question!


6)   A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. B can do the work in:___________?

a. 15 days
b. 14 days
c. 16 days
d. 30 days
Answer  Explanation 

ANSWER: 15 days

Explanation:
Raio of times taken by A and B = 1 : 3
If the difference of time is 2 days, B takes 3 days. If the difference of time is 10 days.
B takes [3/2×10]=15 days


7)   8 children and 12 men complete a certain piece of work in 9 days. If 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. 6 days
b. 8 days
c. 10 days
d. 12 days
Answer  Explanation 

ANSWER: 12 days

Explanation:
2 children = 1 man
(8 children + 12 men ) = 16 men
Now, less men, more days
12 : 16 : 9 : x
x = 16×9/12=12 days


8)   15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?

a. 48 days
b. 24 days
c. 40 days
d. 36 days
Answer  Explanation 

ANSWER: 36 days

Explanation:
No. of days is
directly proportional to the length of the wall and
inversely proportional to the number of men No. of days = (1200/500)*(15/30)*30 = 36 days


9)   If 28 men can finish a work in 15 days, 21 men can finish the same work in___________?

a. 24 days
b. 14 days
c. 15 days
d. 20 days
Answer  Explanation 

ANSWER: 20 days

Explanation:
Time and Men are inversely proportional. Time taken by 28 men to finish the work = 15 days Time taken by a man to finish the work
= 15*28 days Time taken by 21 men = (15*28)/21 = 20 days


10)   C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?

a. 10 days
b. 12 days
c. 8 days
d. 9 days
Answer  Explanation 

ANSWER: 10 days

Explanation:
Part of work completed by C in 1 day = 1/12 Part of work completed by D in 1 day = 1/15 Part of work completed by C in 4 days
= 1/3 Work remaining = 2/3 Time taken by D to complete the work
= (2/3)÷(1/15) = 10 days