This is IBM placement aptitude questions, answers and solutions on topic "Time and Work". Time and Work questions is very important topic for Aptitude test in IBM Placement Process. Practice these questions very well.

Question: A can do in 6 day and B
can do in 8 and C can do in 12 days but b left after working for 6 days for how
many no of day

A and C shluld work ?

Answer: 1 day

Solution: B
for one day work is 1/8

he worked for 6 days, so 6*1/8=3/4 work will be
completed.

remaining work is 1-3/4=1/4

A and C can complete the work in 4 days

but there is only 1/4 work that is to be
completed, so A and C can complete 1/4 work in 1 day..

answer: 1 day

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Question: 15
men take 21 days of 8 hours each to do a piece of work. How many days of 6
hours each would 21 women take, if 3 women do as much work as 2 men ?

Answer: 30 days

Solution:

Time
taken by 1 man by working 1 hr a day= 21*8*15 days

Time taken by 2 men by working 1 hr a day=
21*8*15/2=21*4*15

So time taken by 3 women by working 1 hr a day=
21*4*15

So Time taken by 1 woman by working 1 hr a
day=21*4*15*3

So Time taken by 21 women by working 6 hr a
day=21*4*15*3/6*21=30 days

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Question: Mr. X has to build a wall 1000 metres long in 50
days. He employs 56 men but at the end of 27 days finds that only 448 metres
are built. How many more men must be employed so that the work may be finished
in time?

###
Answer: 25

###
Solution: (men*days*hours)/workdone =(men*days*hours)/workdone

(56*27)/448=(x*23)/552

x=81

81-56=25

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Question: A company organzied a help desk.there have been
done 24 hrs work on software,17 hrs on help user nd 40% on other services.find
the total no. of hrs have been worked on that day?

###
Answer: 68.3

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Solution: let total no of hrs = x

they have done 24+17=41

40% of x is 40/100=2/5

x=41+2x/5

x=68.3

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Question: FOR A POETRY CONCERT OF 30 MINS A POET TAKES 1
HOUR FOR WRITING THE POEM AND 6 HOURS TO REHEARSAL.HOW MUCH TIME WILL TAKE THE
POET FOR 90 HOUR CONCERT?

###
Answer: 1350

###
Solution: For 30 min concert total invested time

= 30 min + 1 hour + 6h= 7hour and 30 min

i.e for 1 hour of concert

he will take 2*( 7hour and 30 min)= 15 hour

i.e for 90 hour of concert he will take

= 15*90=1350hours. ans=1350hours

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Question: A man can do a piece of work in 5 days, but with
the help pf his son, he can do it in 3 days. In what time can the son do it
alone?

###
Answer: 7 ½ days

###
Solution: Man's 1 day's work is 1/5

Man's + his son's 1day's work is 1/3

so his son's 1 day's work is 1/3-1/5=2/15

so he will take 7*1/2 days

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Question: A, B and C are employed to do a piece of work for
Rs.529. A and B together are supposed to do 19/23 of the work and Band C
together 8/23 of the work. What amount should A be paid?

###
Answer: 345

###
Solution:

###
b and
c=8/23(529)=184

a=a+b+c-(b+c)=529-184=345

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Question: A and B together can do a piece of work in 30
days.A having worked for 16 days, B finishes the remaining work in 44 days. In
how many days shall B finish the whole work alone?

###
Answer: 60 days

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Solution:

###
Let, A's 1 day's
work be x and that of B's be y.

Given that, A and B together can finish the work
in 30 days.

According to the question, A's and B's 1 day's
work=1/30.

So, x+y=1/30........ (1)

Again,

16x+44y=1............(2) [ As A's 16 day's
work=16x;B's 44 day's work=44y]

Solving equation (1) and (2) we get,

y=1/60 which is B's 1 day's work.

Therefore, B alone can do it in 60 days.

Hence, Answer is (C.) 60 days.