Quant Test of the Week for SBI PO

As we all know SBI PO is here and we are ready with the 80 days plan in which we provide you daily quizzes on new pattern questions with different topics that will help you to go through this exam.
So, here we are with the Most important questions of  Time and Distance/ Time and Work/ Pipes and Cisterns/ Boat and Streams.

Q1. A can do a piece of work in 6 days. B takes 8 days. C takes as long as A and B would take working together. How long will it take B and C to complete the work together ? 

Q2. A can do a piece of work in 4 hours, B and C can do it in 3 hours, A and C can do it in 2 hours. How long would B alone take to do it?
(a) 14 hours 
(b) 12 hours
(c) 10 hours
(d) 16 hours
(e) None of these 

Q3. 10 men can finish a piece of work in 10 days whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work how many days will they take to complete it ? 
(a) 11
(b) 5
(c) 4
(d) 2
(e) None of these

Q4. I can finish a work in 14 days at 6 hrs a day. You can finish it in 8 days at 2 hrs a day. Find in how many days we can finish it working together 4 hrs a day. 

Q5. A, B and C can do a piece of work in 10, 12 and 15 days respectively, they start working together but C leaves after working 3 days and B, 4 days before the completion of work. Find in how many days the work was finished? 

Q6. A and B working separately can plough a field in 6 and 10 hours respectively. At 8 AM A starts the work and they work in stretches of one hour alternately, when will the ploughing be completed ? 
(a) 3 : 20 PM
(b) 2.20 PM
(c) 12.30 PM
(d) Can’t be determined  
(e) None of these 

Q7. If two pipes function simultaneously, the reservoir is filled in 9 hrs. One pipe fills the reservoir in  7 1/2 hours faster than the other. How many hours does the faster pipe take to fill the reservoir ? 
(a) 15 hours 
(b) 20 hours
(c) 25 hours
(d) 30 hours
(e) None of these 

Q8. A man walks to a town at the rate of 8 kilometers an hour and rides back at the rate of 6 kilometres an hour, how far has he walked both ways, the whole time occupied having been 7 hours ? 
(a) 14 km
(b) 18 km
(c) 22 km
(d) 24 km
(e) None of these 

Q9. A man sets out to cycle from Delhi to Rohtak, and at the same time another man starts from Rohtak to cycle to Delhi. After passing each other they complete their journeys in 16 and 25 hours respectively. At what rate does the second man cycle if the first cycle at 25 km per hour ? 
(a) 21 km per hour
(b) 18 km per hour
(c) 12 1/2 km per hour
(d) 20 km per hour
(e) None of these

Q10. A man travels 400 km in 8 hrs, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he was in train and would have arrived at his destination 4 hours early. Find the ratio between distances travelled by the air and the train. 
(a) 1 : 3
(b) 3 : 1
(c) 2 : 1
(d) 1 : 2
(e) None of these 

Q11. Two trains start at the same time from Lucknow and Jaunpur and proceed towards each other at the rate of 75 km and 65 km per hours respectively. When they meet, it is found that one train has travelled 10 km more than the other. Find the distance between Jaunpur and Lucknow.
(a) 75 km
(b) 65 km
(c) 80 km
(d) 140 km
(e) None of these 

Q12. A goods train and a passenger train are running on parallel track in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 50 seconds. Whereas a passenger on the passenger train marks that he crosses the goods train in 25 seconds. If the speeds of the trains be in the ratio of 1 : 2, find the ratio of their lengths.  
(a) 2 : 1
(b) 1 : 2
(c) 3 : 2
(d) both trains will be of same length
(e) None of these 

Q13. A train meets with an accident 4 hours after starting, which detains it for 2 hours, after which it proceeds at 60% of its original speed. It arrives at the destination 5 hours late. Had the accident taken place 180 km farther along the railway line, the train would have arrived only 4 hours late. Find the length of the trip and the original speed of the train. 
(a) 120 km/hr, 1830 km
(b) 120 km/hr, 1380 km
(c) 100 km/hr, 1530 km
(d) 100 km/hr, 1280 km
(e) None of these 

Q14. A man can row three quarters of a km against the stream in 11 minutes 15 seconds and return in 7 minutes 30 seconds. Find the speed of the man in still water and also the speed of the stream. 
(a) 5 km/hr, 2 km/hr
(b) 5 km/hr, 1 km/hr
(c) 6 km/hr, 2 km/hr
(d) 4 km/hr, 1 km/hr
(e) None of these 

Q15. Ramesh can row a certain distance downstream in 6 hours and return the same distance in 9 hours. If the speed of Ramesh in still water is 12 km/hr, find the speed of the stream ? 
(a) 2.4 km/hr
(b) 2 km/hr
(c) 3 km/hr
(d) Data inadequate 
(e) None of these

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