Work time problems are common in Wipro placement tests. Not only in Wipro, but you can expect these types of questions in several other papers of popular companies. Below are three practice questions of moderate difficulty level.

Question 1

Ansar can do a work of making a sofa set in 40 hours and with the help of Nayeem, he can complete the same work in 24 hours. If they get Rs.1200 for the work, then what could be Nayeem’s share?

a) Rs. 360 b)Rs.420 c)Rs.480 d) Rs.540

Answer : c) Rs.480

Solution :

Ansar can do in one hour 1/40 of the sofa set work
Both Ansar and Nayeem perform in one hour 1/24 of the sofa set work.
Nayeem’s one hour work = One hour work of Both Ansar and Nayeem - One hour work of Ansar = 1/24 - 1/40 = 1/60
So, Nayeem will finish the work in 60 hours.
Ansar’s revenue share / Nayeem’s revenue share = Time taken for Ansar to complete the work / Time taken for Nayeem to complete the work = 60 / 40 = 3 / 2
Ansar’s revenue share : Nayeem’s revenue share = 3 : 2
Let Ansar's share be 3X and let Nayeem's share be 2X. Therefore 3X + 2X = 1200 (Total revenue of both)
Or X = 1200/5 = 240.
Therefore Nayeem’s share = 2X = 2 x (240) = Rs. 480

Question 2

8 men and 12 women together can complete construction of a house in 8 days. 6 men and 14 women can complete the construction of the same house in 10 days. Suppose 20 women alone work for construction of this house, how many days will they take to complete the same?

a) 36 days b)40 days c)32 days d)24 days

Answer : b) 40 days

Solution :

Work done by 8 men and 12 women for 8 days is equal to
Work done by 6 men and 14 women in 10 days.
Let m be the amount of work done by one man and let w be the amount of work done by one woman. Then
(8m + 12 w) 8 = (6m + 14 w) 10
64 m + 96 w= 60 m + 140 w
64 m - 60 m = 140 w - 96 w
4 m = 44 w
1 m = 11 w
Construction of the house requires
(8 x 11w + 12 w)8 = 800 women days.
So if the construction is to be done by 20 women only
It will take - 800/20 = 40 days.

Question 3

Bharath and Rajani together can complete a piece of work in 12 days and Rajani and Kamal together in 15 days. If Bharath is twice as good a workman as Kamal, then in how many days will Rajani along complete the same work?

a) 30 b)24 c)25 d) 20

Answer : d) 20

Solution :

Assume Bharath completes in B days
Rajani completes in R days
Kamal completes in K days
Then 1/B + 1/R = 1/12 -->eq 1 (Bharath and Rajani take 12 days to complete the work)
1/R + 1/K = 1/15 --> eq 2
eq 1 - eq 2 gives, 1/B - 1/K = 1/12 - 1/15 = 1/60 --> eq 3
From the question it is given that Bharath is twice as efficient as Kamal. That is, if Bharath takes B days Kamal will take 2B days to complete the work. Therefore eq 3 becomes,
1/B - 1/2B = 1/60
1/2B = 1/60
B = 30 days
1/R = 1/12 - 1/30
= 3/60 = 1/20
So Rajani will take 20 days to complete the work.