Most Important Questions of Time and Distance 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.



Q1. On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 minutes. How long would it take to go from R to P ?
(a) 3 (1/3) h
(b) 5 h 
(c) 6 (2/3) h 
(d) 6 (1/4) h
(e) None of these

Q2. In eleven hours C walks 12.5 km less than what D does in twelve h; and in five h D walks 3.25 km less than what C does in seven h. How many km does each walk per hour ? 
(a) 3 and 4 
(b) 3.5 and 4.25 
(c) 2.33 and 3.4 
(d) 4 and 5
(e) None of these

Q3. A train 75 meters long overtook a person who was walking at the speed of 6 km/h in the opposite direction and passed him in 7 1/2s. Subsequently, it overtook a second person, walking in the same direction as the first person and passed him in 6 3/4 s. At what rate was the second person travelling ? 
(a) 11.75 km/hr
(b) 10 km/hr
(c) 8 km/hr
(d) 4.5 km/hr 
(e) None of these 

Q4. Shramjeevi Express leaves Patna for New Delhi at 10 : 10 am and reaches New Delhi at 3 : 30 pm. Magadh Express leaves New Delhi at 9 : 48 am and reaches Patna at 2 : 36 pm. If routes of both the trains are the same, then at what time will both the trains meet each other ? 
(a) 12 : 52 pm 
(b) 1 : 12 pm 
(c) 1 : 32 pm
(d) Can’t be determined 
(e) None of these

Q5. Preeti and Uma stay next to each other and study in the same school. Preeti and Uma start walking towards their school at the speed of 2 km/hr and 3 km/hr respectively. The faster of the two reaches the school first, turns around and starts walking back. If Preeti and Uma meet 200 m away from the home, what is the distance between their residence and the school ? 
(a) 260 m
(b) 240 m
(c) 200 m
(d) 250 m
(e) None of these 

Q6. A car after travelling a distance of 110 km develops a problem in the engine and proceeds at ¾ th of its former speed and arrives at the destination 60 minutes late. Had the problem developed 30 km further on, the car would have arrived 12 minutes sooner. Find the original speed of the car. 
(a) 45 km/hr
(b) 60 km/hr
(c) 50 km/hr
(d) 55 km/hr
(e) None of these 

Q7. P and Q start running simultaneously—one from point A to B and second from point B to A. P’s speed is 6/5th of Q’s speed. If after crossing Q, P takes 2 1/2hours to reach B, how much time does Q take to reach A after crossing P ? 
(a) 3 : 36 minutes
(b) 3 : 48 minutes
(c) 4 : 12 minutes
(d) 4 : 24 minutes
(e) None of these 

Q8. Vinod and Kaurvaki start travelling in the same direction at 8 km/hr and 13 km/hr respectively. After 4 hours, Vinod doubled his speed and Kaurvaki reduced his speed by 1 km/hr and reached the destination together. How long did the entire journey last ? 
(a) 3 h
(b) 6 h
(c) 9 h 
(d) 12 h
(e) None of these 

Q9. The number expressing (in metres) the length of a fast and a slow trains are three times the numbers expressing (in km/hr) the speed of the slow and the fast train respectively. The speed of the slow trains and that of the fast train consists of the same two digits, but in a reverse order. The time taken by the two trains to pass each other, when traveling in an opposite direction on parallel lines will be 
(a) 10.8 s
(b) 5.4 s
(c) 9.77 s
(d) 5.18 s
(e) None of these 

Q10. A beats B by 20 m in a 100 m race and B beats C by 20 m in a 100 m race. How much start should A give to C in a 100 m race so that both of them reach the winning post at the same time ? 
(a) 30 m
(b) 44 m
(c) 32 m
(d) 36m
(e) None of these 

Q11. Michael Johnson is a great sprinter. He can climb 12 stairs of a staircase in 3 s. But after climbing 480 stairs his speed reduces to 8 stairs in 3 s. The empire state building in NY has 90 floors and the lift takes 4 s per floor. To get to the next floor one has to climb 12 stairs. If Michael is on the ground floor how should he reach the 90th floor to be the first ? 
(a) By lift
(b) Running 
(c) Run till 50th floor and then take the lift 
(d) Can’t be determined 
(e) None of these

Q12. Saket runs twice on a circular track at a uniform speed. Bidhan starts at the same time as Saket and after Bidhan has completed one lap, he stops and Sunny starts and completes the second lap at a uniform speed. It is given that they start the race exactly at 2 : 30 pm and the track is 500 m in circumference. Sunny runs at a speed of 5 km/hr greater than that of Bidhan and Saket’s speed is 2 km/hr greater than that of Bidhan. When does Saket finish the 2nd lap if Sunny also finishes at the same time ? 
(a) 2 : 32 pm
(b) 2 : 35 pm
(c) 2 : 33 pm
(d) 2 : 36 pm 
(e) None of these 

Q13. An athlete runs to and fro between points A and B at a speed of 10 km/hr. A second athlete simultaneously runs from point B to A and back at a speed of 15 km/h. If they cross each other 12 minutes after the start, after how much time will they cross each other ? 
(a) 18 minutes 
(b) 24 minutes
(c) 36 minutes
(d) 48 minutes
(e) None of these 

Q14. There are two swimmers A and B who start swimming towards each other from opposite banks of the lake. They meet at a point 900 ft from one shore for the first time. They cross each other, touch the opposite back and return. They meet each other again at 300 ft from the other shore. What is the width of the lake ? 
(a) 2400 ft
(b) 1800 ft 
(c) 2700 ft
(d) 3600 ft 
(e) None of these 

Q15. At his normal speed, Rishu can go 18 km downstream in a flowing river in 9h less than what he takes to go the same distance upstream. The downstream journey would take 1 hr less than what the upstream journey would take provided he doubles his rate of rowing. Find the speed of the river (in km/hr)? 
(a) 6 (2/3) km
(b) 8 km
(c) 9.5 km
(d) 12 km
(e) None of these 



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