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# Arithmetic Aptitude :: Time and Work

Home > Arithmetic Aptitude > Time and Work > General Questions

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61. 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 ?

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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

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Tags:  IBM

62. 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?

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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.

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Tags:  IBM

63. 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?

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Explanation:

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

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Tags:  IBM

64. 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?

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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.

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Tags:  Tech Mahindra

65. 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?

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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.

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Tags:  Wipro

66. 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?

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Explanation:

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

So 12/1.6 = 7.5 days.

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Tags:  Wipro

67. One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men & 3 women can do it in 120 hours. 5 Men & 12 boys can do it in how many hours?

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Explanation:

Lets assume man, women and boy as M, W, B respectively.
So, m+3W+4B=1/96 ------- (1)
2M+8B=1/80 -------- (2)
2M+3W=1/120 ---------(3)
By solving above eq.
4M+16B=1/40 4
eq(3)+eq(4)
5M+12B+(M+3W+4B) = 1/40+1/120
5M+12B=11/480 = 43 7/11 hrs.

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Tags:  Wipro

68. A does 4/5 of work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

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Explanation:

A can do 4/5th works in 20 days.
so he can do the whole work in 20*(5/4) =25 days.
remaining work after done 4/5 by A is=1-(4/5)=1/5
(A+B) can do the 1/5th work in 3 days.
means the can do the whole work in (3*5)=15 days.
so,(A+B)'s 1 days work=1/15
B's 1 day's work {(1/15)-(1/25)}=2/75
so B can alone do the whole work in 75/2,means in 37 1/2 days.

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69. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1. boy do the work? .

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Explanation:

If 1 day work of a man=m and a boy=b, then
2m + 3b =1/10 ----(i) and
3m + 2b =1/8 ----(ii)
On solving (i) and (ii), m=7/200, b=1/100
So 2 men and 1 boy's 1 day work= (2*7/200)+(1/100)=8/100=2/25
Hence they can complete the work in 25/2=12.5 days

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Tags:  Wipro

70. A and B undertake to do a piece of work for Rs. 600. A alone can- do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of each.

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Explanation:

C's 1 day's work=1/3 - (1/6 + 1/8)
A:B:C = Ratio of their 1 day's work = 1/6 : 1/8 : 1/24= 4:3:1 (by taking LCM)
therefore,
A's Share = Rs.(600* 4/8) = Rs.300
B's Share = Rs.(600* 3/8) = Rs.225
C's Share = Rs.[600 - (300 + 225)] = Rs.75

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Tags:  Wipro