Question Bank  Time & Work

Number of questions : 10
Topic : Time & Work
Answer key available : No
Source : ADURO

(Q1) A, B and C can do apiece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days ?
(a) 1 day
(b) 9 days
(c) 8 days
(d) 10 days

(Q2) The painting of a hotel can be done by 10 painters in 5 days. But, in reality there were few dabblers in the group of 10 painters and therefore the work took a little over 6 days for completion. A painter worked twice as fast as the dabbler and used 25% less paint than a dabbler used. If 5 litres extra paint was used than expected, then the total paint used in painting the hotel was (in litres)

(Q3) A, B and C can do a work together in a certain number of days. If A leaves after half the work is done, then the work takes 4 more days for completion, but if B leaves after half the work is done, the work takes 5 more days for completion. If A takes 10 more days than B to do the work alone, then in how many days can C alone do the work?
(a) 45
(b) 52.5
(c) 60
(d) 65
(e) none of the foregoing

(Q4) A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the wotk was
(a) 12 and half days
(b) 15 days
(c) 14 and 2/9 days
(d) 16 and 2/3 days

(Q5) Divya works for Google that claims only 4 working days. In the 1st week of joining, she went for movies after 4 working days. On Friday, she noticed that the fraction p of the line is in front of her, while 1/q of the line was behind her. On Saturday, the same fraction p of the line was in front of her, while 1/(q+1) of the line was behind her. On Sunday, the same fraction p of the line was in front of her, while 1/(q+2) of the line was behind her. For how many values of p is this possible?
(a) 3
(b) 1
(c) 2
(d) no such value
(e) infinitely many

(Q6) A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes in 13 days. In how many days C alone will do the work?
(a) 16
(b) 36
(c) 24
(d) 48

(Q7) Arvind and Swarnali are team mates and they can do a project in certain number of days.If Arvind is on holiday for x days,then they take y more days to complete the work while if Swarnali is on holiday for x days,then they take z more days to complete the same project. Then
(a) y, x/2,z are in AP
(b) y, x/2,z are in GP
(c) 1/x=1/y+1/z
(d) Cannot be determined
(e) None of the foregoing

(Q8 ) Sunit,Arun and Pavan were in the same project for 30 days. In the course of work all of them remained absent for few days.Pavan remained 10 days more absent than Arun remained and Sunit did onethird of the total work.How many more days did Pavan remained absent than Sunit?
(a) 4
(b) 5
(c) 6
(d) Cannot be determined
(e) None of the foregoing

(Q9) Divya and Raveena can do a work alone exactly in 20 and 25 days respectively. However, when they work together, they do 25% more work than is expected. If they work for a few days alone and for few days together (both being integers only), then the work could not have been completed in exactly
(1) 10 days
(2) 14 days
(3) 16 days
(4) 17 days
(5) either none or atleast 2 of these

(Q10) Sara, Kyna, Riddhi can complete the work W1, W2, W3 alone in 6, 9 and 15 days respectively. If (Kyna, Riddhi), (Riddhi, Sara) and (Sara, Kyna) can do the work W1, W2, W3 respectively in n days each, then n lies in
(1) (3, 3.5)
(2) (3.5, 4)
(3) (4, 4.5)
(4) (4.5, 5)
(5) either none or atleast 2 of these