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Problems on Time and Work

Home > Quantitative Aptitude > Time and Work > General Questions
NA
SHSTTON
12
Solv. Corr.
30
Solv. In. Corr.
42
Attempted
2 M:46 S
Avg. Time

51 / 99

Choose the correct option.

Aravind can dig a well in 24 days. Mani can dig the same well in 36 days. Aravind, Mani and Hari can dig the same well working together in dig the same well working alone in how many days?


A12 days

B18 days

C16 days

D24 day

Answer: Option B

Explanation:

Aravind = 24 days so 1 day work =1/24
Mani= 36 days so 1 day work = 1/36
Let Hari can alone do in x days so 1 day work = 1/x
All working together= 1/24+1/36+1/x= 1/8 can complete the work in 8 days
Solving the equation we get x= 18 days.

Workspace

NA
SHSTTON
25
Solv. Corr.
26
Solv. In. Corr.
51
Attempted
0 M:40 S
Avg. Time

52 / 99

Choose the correct option.

A takes 2 hours to make a publication. B takes 10 hours to make a publication. Find the time taken by them to make two publications, working independently.


A12 hours

B11 hours

C22 hours

DNone of these

Answer: Option A

Explanation:

A completes one publication ====> 12 hours
B completes one publication ====> 10 hours
So, the maximum time taken to complete these two publications is 12 hour.

Workspace

NA
SHSTTON
12
Solv. Corr.
27
Solv. In. Corr.
39
Attempted
2 M:36 S
Avg. Time

53 / 99

Choose the correct option.

There are 3 trucks A,B and C. A loads at the rate of 10kg/min and B loads at the rate of 13 1/3 kg/min. C unloads at the rate of 5kg/min. If all the 3 trucks are acting simultaneously, find the time taken to load 2.4 tonnes.


A120.81min

B130.91min

C240 min

D100min

Answer: Option B

Explanation:

A loads in 1 min = 10 kg.
B loads in 1 min = 13 1/3 kg = 40/3 kg.
C unloads in 1 min = 5kg.

So 10+ 40/3 -5 = 55/3

Hence 1 kg loaded by A,B and C together = 3/55 min

So for 2.4 tonnes to be loaded = 2.4 *1000* 3/55 =130.9 min

Workspace

NA
SHSTTON
27
Solv. Corr.
12
Solv. In. Corr.
39
Attempted
1 M:37 S
Avg. Time

54 / 99

Choose the correct option.

A can complete a piece of work in 8 hours, B can complete in 10 hours and C in 12 hours. If A,B, C start the work together but A laves after 2 hours. Find the time taken by B and C to complete the remaining work.


A2 (1/11) hours

B4 (1/11) hours

C2 (6/11) hours

D2 hours

Answer: Option A

Explanation:

A,B,C 1 hour work is=1/8+1/10+12= 37/120
A,B,C work together for 2 hours, so,A,B,C 2 hours work is: (37/120)*2=37/60
remaining work=1-37/60=23/60 (23/60 work is done by B and C together)
B,C 1 hour work is= 1/10+1/12=11/60
23/60 hours work done by B,C= (11/60)* (60/23)=11/23
So B & C and complete the remaining work = 2 1/11 days.

Workspace

NA
SHSTTON
4
Solv. Corr.
27
Solv. In. Corr.
31
Attempted
2 M:49 S
Avg. Time

55 / 99

Choose the correct option.

A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 6 days. For how many number of days should A and C should work together to complete the remaining work ?


A1 Day

B2 Days

C1 1/3 Days

DNone of these

Answer: Option A

Explanation:

A complete work in 6 days
B complete work in 8days
C complete work in 12 days
B's 1 day work=1/8
6 day's work=6/8
remaining work=1-6/8=2/8=1/4
A+C 1 day work together = 1/6+1/12=1/4
so A and C work 1 day to complete remaining work

Workspace

NA
SHSTTON
20
Solv. Corr.
11
Solv. In. Corr.
31
Attempted
1 M:44 S
Avg. Time

56 / 99

Choose the correct option.

A and B together can complete a work in 12 days. A alone can complete it in 20 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?


A10 days

B11 days

C15 days

D20 days

Answer: Option C

Explanation:

A can do in 20 days so 1 day work = 1/20.
Let B alone can do in x days so 1 day work of B is = 1/x
Acc. to the question= 1/20+1/x= 1/12
We get x= 15 days.
So B alone can do the whole work doing alone in 15 days.
But Acc. to the question he only does half a work daily so he will take 30 days to complete the full work
If B works together with A then
1/30+ 1/20= 1/15 or 15 days will be taken to complete the work.

Workspace

NA
SHSTTON
19
Solv. Corr.
13
Solv. In. Corr.
32
Attempted
3 M:46 S
Avg. Time

57 / 99

Choose the correct option.

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?


A1

B3

C5

D7

Answer: Option D

Explanation:

5 women's 1 day work=1/14
ans= 1/14 + 1/14
= 1/7 units of work
so 7 days

Workspace

NA
SHSTTON
21
Solv. Corr.
25
Solv. In. Corr.
46
Attempted
1 M:55 S
Avg. Time

58 / 99

Choose the correct option.

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?


A40

B50

C54

D60

Answer: Option D

Explanation:

(A + B)'s 20 day's work = ( 1/30 x 20 ) = 2/3 .
Remaining work = ( 1 - 2/3 ) = 1/3
Now, 1/3 work is done by A in 20 days.
Therefore, the whole work will be done by A in (20 x 3) = 60 days.

Workspace

NA
SHSTTON
18
Solv. Corr.
18
Solv. In. Corr.
36
Attempted
5 M:8 S
Avg. Time

59 / 99

Choose the correct option.

Sixteen men can complete a work in twelve days. Twenty four children can complete the same work in 18 days. 12 men and 8 children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?


A2 days

B4 days

C6 days

D8 days

Answer: Option B

Explanation:

Lets assume Men as "M" and children as "C" .
So as per the Question
16M*12 = 24C*18
=> M/C=9/4
Total work= 16*9*12
Lets assume days required to complete remaining work = x days.
(12*9+8*4)*8+(12*9+11*4)*x=16*9*12
x=608//152 = 4 days.

Workspace

NA
SHSTTON
17
Solv. Corr.
8
Solv. In. Corr.
25
Attempted
0 M:40 S
Avg. Time

60 / 99

Choose the correct option.

A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?


A6 days.

B7.5 days.

C8 days.

D8 days.

Answer: Option B

Explanation:

A=100% work one day(1 work)
B=160% work one day(1.6 work)

So 12/1.6 = 7.5 days.

Workspace

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