Mission IBPS Exam : Quant Exam (Time and Distance)

1. Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5 /6 hour before the second horse reaches A. If the distance between A and B is 50 km. What is the speed of the slower horse?

(a) 30 km/h

(b) 15 km/h

(c) 25 km/h

(d) 20 km/h
(e) none of these 

2. Pankaj walked at 5  km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. If he took 10 hours for the entire journey, what part of journey did he travelled by auto if the average speed of the entire journey be 17 km/h :

(a) 750 km

(b) 100 km

(c) 150 km

(d) 200 km

(e) none of these

3. Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does second train B travel if the first train travels at 120 km/h per hour:

(a) 90 km/h

(b) 160 km/h

(c) 67.5 km/h

(d) 80 km/h
(e) none of these 

4. Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in km/h:

(d) 2
(e) none of these 

5. Train X starts from point A for point B at the same time that train Y starts from B to A. Point A and B are 300 km apart. The trains are moving at a constant speed at least at 25 km/h. The trains meet each other 3 hours after they start. If the faster trains takes at least 2 more hours to reach the destination. By which time will the slower train have definitely reached its destination? (Ignoring the length of trains in crossing)

(a) 4 hours after the start

(b) 7.5 hours after the start 

(c) 6 hours after the start

(d) 7 hours after the start
(e) none of these

6. In reaching the Purnagiri a man took half as long again to climb the second third as he did to climb the first third and a quarter as long again for the last third as for the second third. He took altogether 5 hs 50 minutes. Find the time he spent on the first third of the journey?

(a) 72 min

(b) 80 min

(c) 81 min

(d) 88 min
(e) none of these

7. A boat covers 48 km upstream and 72 km downstream in 12 hours, while it covers 72 km upstream and 48 downstream in 13 hours. The speed of stream is :

(a) 2 km/h

(b) 2.2 km/h

(c) 2.5 km/h

(d) 4 km/h

(e) none of these

8. A motor boat takes 2 hours to travel a distance of 9 km downstream and it takes 6 hours to travel the same distance against the current. The speed of the boat in still water and that of the current (in km/h) respectively are :

(b) 3, 1.5

(d) 9, 3
(e) none of these

9. A coolie standing on a railway platform observes that a train going in one direction take 4 seconds to pass him Another train of same length going in opposite direction takes 5 seconds to pass him. The time taken (in seconds) by the two trains to cross each other will be :

(d) 45
(e) none of these

10. Pushpak express leave Lucknow at 6 am and two hours later another train Bhopal express leaves Lucknow. Both trains arrive Bhopal at 4 pm on the same day. If the difference between their speeds be 10 km/h, what is the average speeds of both the trains over entire route :

(a) 40 km/h

(b) 44(4/9) km/h

(c) 42(3/5) km/h

(d) 43 km/h
(e) none of these

Answers will be provided soon!!!!!

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