Time and Work Questions for IPPB PO Mains 2017

Q1. Subhash can copy 50 pages in 10 h, Subhash and Prakash can copy 300 pages in 40 h. how much time can Prakash copy 30 pages? 
(a) 12 h
(b) 9 h
(c) 13 h
(d) 10 h
(e) None of these 

Q2. A takes twice as much as B and thrice as much as C to complete a piece of work. They together complete the work in 1 day. In what time will A alone complete the work?  
(a) 9 days 
(b) 5 days 
(c) 6 days 
(d) 4 days 
(e) None of these 

Q3. x number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is 
(a) 6
(b) 10
(c) 12
(d) 15
(e) None of these 

Q4. 42 women can do a piece of work in 18 days. How many women would be required to do the same work in 21 days? 
(a) 36
(b) 24
(c) 30
(d) 44
(e) None of these 

Q5. 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?  
(a) 3 days 
(b) 5 days 
(c) 2 days 
(d) 4 days 
(e) None of these 

Q6. 8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed?   
(a) 5 days 
(b) 8 days 
(c) 6 days 
(d) 4 days 
(e) 9 days 

Q7. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? 
(a) 50
(b) 45
(c) 40
(d) 35
(e) None of these 

Q8. Ram earns Rs. 125 in 8 days and Shyam earns Rs. 140 in 10 days, the ratio of their earnings is  
(a) 125 : 110
(b) 112 : 125
(c) 125 : 112
(d) 100 : 112
(e) 111 : 112 

Q9. A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy?  
(a) Rs. 76
(b) Rs. 56
(c) Rs. 44
(d) Rs. 40
(e) Rs. 72 

Q10. A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, then how much amount will be received by A?  
(a) Rs. 800
(b) Rs. 600 
(c) Rs. 900
(d) Rs. 750
(e) Rs. 725 
Q11. Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone in 40 min. How long will the tap C alone take to fill it? 
(a) 16 min 
(b) 24 min 
(c) 32 min 
(d) 40 min 
(e) 36 min 

Q12. Two pipes A and B can separately fill a cistern in 60 min and 75 min, respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. in how much time the third pipe alone can empty the cistern?  
(a) 110 min 
(b) 100 min 
(c) 90 min 
(d) 120 min 
(e) None of these 

Q13. One pipe fills a water tank three times faster than another pipe. If the two pipes together can fill the empty tank in 36 min, then how much time will the slower pipe alone take to fill the tank?  
(a) 1 h 21 min 
(b) 1 h 48 min 
(c) 2 h 
(d) 2 h 24 min 
(e) None of these 

Q14. Two pipes A and B can fill a water tank in 20 min and 24 min, respectively and a third pipe C can empty at the rate of 3 gallons per min. If A, B and C opened together fill the tank in 15 min, the capacity (in gallons) of the tank is  
(a) 180
(b) 150
(c) 120
(d) 60
(e) None of these 

Q15. Two pipes P and Q can fill a cistern in 12 min and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?