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Problems on Time and Work

Home > Quantitative Aptitude > Time and Work > General Questions
NA
SHSTTON
20
Solv. Corr.
19
Solv. In. Corr.
39
Attempted
2 M:29 S
Avg. Time

41 / 99

Choose the correct option.

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?


A10

B50

C40

D28

Answer: Option D

Explanation:

Let the original number of workers in the group be 'x'
Therefore, actual number of workers = x-7.
We know that the number of manhours required to do the job is the same in both the cases.
Therefore, x (24) = (x-7).30
24x = 30x - 210
6x = 210
x = 35.
So, the actual number of workers who worked to complete the job = x - 7 = 35 -7 = 28.

Workspace

NA
SHSTTON
27
Solv. Corr.
6
Solv. In. Corr.
33
Attempted
0 M:42 S
Avg. Time

42 / 99

Choose the correct option.

Two persons A and B working together can dig a trench in 8 hrs while A alone can dig it in 12 hrs. In how many hours B alone can dig such a trench?


A20 hours.

B14 hours.

C24 hours.

DNone of these

Answer: Option C

Explanation:

Given (A+B)'s one hours work = 1/8
and A's one hours work =1/12
Therefore, B's one hours work = (1/8-1/12) =1/24.
So, B alone can dig the trench = 24 hours.

Workspace

NA
SHSTTON
25
Solv. Corr.
16
Solv. In. Corr.
41
Attempted
5 M:3 S
Avg. Time

43 / 99

Choose the correct option.

X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?


ARs. 80.

BRs. 120.

CRs. 110.

DNone of these

Answer: Option B

Explanation:

In one day X can finish 1/15 th of the work.
In one day Y can finish 1/10 th of the work.

Let us say that in one day Z can finish 1/Z th of the work.
When all the three work together in one day they can finish 1/15 + 1/10 + 1/Z = 1/5 of the work.
Therefore, 1/Z = 1/30.
Ratio of their efficiencies = 1/15: 1/10: 1/30 = 2: 3: 1.Therefore Z receives 1/6 of the total money.
According to their efficiencies money is divided as 240: 360: 120.
S0, the share of Z = Rs. 120.

Workspace

NA
SHSTTON
9
Solv. Corr.
26
Solv. In. Corr.
35
Attempted
5 M:3 S
Avg. Time

44 / 99

Choose the correct option.

A and B can do a piece of work in 12 days. B and C can do it the same work in 20 days. In how many days will A, B and C finishes it working all together? Also, find the number of days taken by each to finish it working alone?


ATogether=10 days, A=20 days, B=30 days, C=60 days

BTogether=10 days, A=30 days, B=20 days, C=60 days

CTogether=15 days, A=300 days, B=20 days, C=60 days

DTogether=20 days, A=20 days, B=30 days, C=50 days

Answer: Option B

Explanation:

Given (A+B)’s one day’s work=1/12 ---- (1)
(B+C)’s one day’s work=1/15 ------- (2)
and (A+C)’s one day’s work=1/20. -------- (3)
By eq. 1, 2 and 3
2(A+B+C)’s one day’s work = (1/12+1/15+1/20)=1/5.
=> (A+B+C)’s one day’s work=1/10.
=> A, B and C together can finish the work in 10 days.
Now, A’s one day’s work
= [(A+B+C)’s one day’s work] – [(B+C)’s one day’s work]
= 1/10-1/15)
= 1/30.
Therefore, A alone can finish the work in 30 days.
Similarly, B’s 1 day’s work = (1/10 -1/20) = 1/20.
Therefore, B alone can finish the work in 20 days.
And, C’s 1 day’s work= (1/10-1/12) = 1/60.
Therefore, C alone can finish the work in 60 days.

Workspace

NA
SHSTTON
37
Solv. Corr.
23
Solv. In. Corr.
60
Attempted
0 M:39 S
Avg. Time

45 / 99

Choose the correct option.

Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?


A24 days.

B48 days.

C36 days.

D27 days.

Answer: Option B

Explanation:

As Jake , Paul and Hari can dig the well in 8 days,
Jack one day work = 1/16
Paul one day work = 1/24
Given, (Jake,Paul and hari) 1 day work = 1/8

So, 1/16 + 1/24 + 1/x = 1/8

=> 1/x=1/48

Therefore, Paul can finished work in 48 days.

Workspace

NA
SHSTTON
14
Solv. Corr.
22
Solv. In. Corr.
36
Attempted
7 M:21 S
Avg. Time

46 / 99

Choose the correct option.

15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?


A30

B20

C19

D29

Answer: Option A

Explanation:

15 men - 8hrs - 21 days ( Its given 3 women = 2 men so 21 women= 14 men)
15 men - 1 hr - 21*8days
1 man - 1 hr - 21*8*15 days =2520 days
1 man - 6 hours - 2520/6 days
14 men - 6 hours - 2520/(14*6)= 30 days

Workspace

NA
SHSTTON
23
Solv. Corr.
39
Solv. In. Corr.
62
Attempted
1 M:49 S
Avg. Time

47 / 99

Choose the correct option.

A completes a work in 2 days, B in 4 days, C in 9 and D in 18 days. They form group of two such that difference is maximum between them to complete the work. What is difference in the number of days they complete that work?


A14/3

B8/3

C3/5

DNone of these

Answer: Option A

Explanation:

If C and D form a pair and A and B form a pair the difference is maximum.
Now C and D together can complete the work = 9*189+189*189+18 = 6 days.
A and B together can complete the work = 2*42 + 42*42 + 4 = 4/3 days.
Difference = (6 - 4/3) = 14/3 days.

Workspace

NA
SHSTTON
27
Solv. Corr.
23
Solv. In. Corr.
50
Attempted
3 M:32 S
Avg. Time

48 / 99

Choose the correct option.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?


ARs. 375

BRs. 400

CRs. 600

DRs. 800

Answer: Option B

Explanation:

A's 1 day work = 1/6
B's 1 day work = 1/8
So, C's 1 day's work = 1/3 - (1/6 + 1/8) = (1/3 - 7/24) = 1/24.
So, A's wages : B's wages : C's wages
=> 1/6 : 1/8 : 1/24 = 4:3:1
So, C's share = (1/8 * 3200) = Rs 400.

Workspace

NA
SHSTTON
23
Solv. Corr.
27
Solv. In. Corr.
50
Attempted
1 M:1 S
Avg. Time

49 / 99

Choose the correct option.

Hanuman can complete a bridge in 10 days and Ravanan can complete the same bridge in 20 days. Now they are working together and they are completing the bridge in 20 days. What is the contribution of Ravanan in constructing the bridge?


AHalf the work

BOne-third of the work

CTwo-fourth of the bridge

DDestructing the bridge

Answer: Option D

Explanation:

Hanuman= 10 days so in 1 day= 1/10
Ravanan = 20 days so in 1 day= 1/20
If Ravanan helps Hanuman then their one day work will be =1/10+1/20= 3/20 so they can complete the bridge in 20/3 days= 6.33 days
But acc. to the question the bridge is constructed in 20 days so its only possible when Ravanan is involved in
destructing the bridge coz (1/10-1/20)= 1/20
hence 20 days required to built the bridge.

Workspace

NA
SHSTTON
18
Solv. Corr.
21
Solv. In. Corr.
39
Attempted
1 M:42 S
Avg. Time

50 / 99

Choose the correct option.

Daniel can do some work in 12 hours, Roy can do the same work in 10 hours while Hillari can do the same work in 15 hours. All the three of them start working at 9 a.m while Daniel stops works at 11 a.m and remaining two complete the work. Approximately at what time will the work be finished?


A1.30 pm

B12.30 am

C2.00 pm

D1.00 pm

Answer: Option C

Explanation:

Daniel= 12 hrs so 1 hr work = 1/12 Similarly Roy= 1/10 and Hillari =1/15
In 1 hr they will do 1/12+1/10+1/15= 1/2 in 1 hr
so in 2 hrs (9 am -11 am) work done is 1/2
Now Daniel stops working so Roy and Hillari work together
1/10+1/15 = 1/6 in 1 hr
So 1 in 6 hr hence 1/2 in 3 hr hence three hours from 11 am they will finish the work that is 2pm.

Workspace

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