1.
A and B are two first class swimmers who start swimming simultaneously in a pool of length 50 m , A from the deep end at 3 m / sec and B from the shallow end at 2 m/sec . Find the position of 3rd meet and after how long from the start
2.
A and B are two steamers which start simultaneously from opposite banks of a river and run continuously the whole day. They meet for the 1st time 300m from a bank and the second meet occurs 200m from the other bank. Find ratio of speeds of the two steamers.
3.
Rinki and Pinki starts from P and Q respectively and meet at R . After the meet Rinki and Pinki takes 9 hrs and 16 hrs respectively to reach Q and P . If Rinki’s speed is 48 Km/hr , find Pinki’s speed
4.
A bird sitting on the dead end wall of a railway track suddenly spots a railway engine 720 Km away which was approaching the wall at 15 m/sec. The bird immediately flew towards the engine , reaches the engine and turns back to its nest on the wall. The bird continues to do this to and fro movement between the wall and the engine till the engine crashes with the wall. If the bird flies at 120 Km / hr , what distance did it fly towards the engine
5.
A rabbit sitting on the mountain top suddenly spots a car approaching the top which is 1170 Km with a speed of 90 km / hr. The rabbit immediately runs towards the car at a speed of 140 km/hr. reaches the car and turns back to the top of the hill at a speed of 120 Km/hr. The rabbit continues this to and fro run between the mountain top and the car till the car reaches the top. Find the total distance that it ran
6.
A thief ran away from a prison at 40 Km / hr which was spotted by the police . The police started the chasing after 3 hours with a speed of 50 Km/hr. The police had a dog which also started with the police but at a speed of 60 Km/hr. The dog runs to the thief and turns back and runs towards the police. The dog continues this to and fro run between the thief and the police till the police catches the thief. Find the distance the dog ran towards the thief
7.
On a rainy day Nikhil had to reduce the speed of his bike by 25% and reaches office at 10:10 am which is 10 min late. Find his starting time on all days when he is not late
8.
To make over a half an hour delay Nikhil increased the speed of his aero plane by 250 Km /hr and reaches destination 1500 Km away in time . Find the normal speed of the flight
9.
While starting from home Nikhil found that he was late by 6 min and to make over he increases the speed of his bike by 4 Km / hr and reaches office which is 36 Km away in time. Find his normal speed
10.
A person shooting a target which is 465 m away hears the bullet strike it 4.5 secs after he has fired. A spectator equidistant from the target and the shooting point (but out of line of danger) hears the bullet strike 3 sec after he heard the sound of the gun . Find the speed of the sound
11.
A man fires a gun at interval of 13 min . But a person who was driving towards the man ( out of danger) hears the gun shots at interval of 12 ½ min. Find speed of the car if speed of sound is 320 m/sec
12.
Tinku starts from Delhi at 2 pm at 30 Km/hr . After 3 hrs he changes to 45 Km/hr and at 9 pm to 90 Km/hr and reaches Jaipur at 11 pm . RSTC buses start every hour from Jaipur bus depot and the first bus starts at 6am while the last bus at 8 pm. Tinku meets all these buses during his journey. Find the ratio of the maximum and minimum time interval between the meeting of two consecutive buses
13.
A grand father’s clock takes 3 seconds to strike 3 ‘o’ clock . How long will it take to strike 9 ‘o’ clock
14.
When two trains , one express and the other a passenger was approaching each other two passengers from either train looks out of the window and the person in the passenger train observes that the express train crosses him in 40 sec and the person in the express train observe that the passenger train crosses him in 60 sec . Find the ratio of the lengths of the train
15.
Nikhil reaches school everyday at 5 pm to pick up his children. On a certain day the school got over at 4 pm and the children started walking towards home. Nikhil met them on their way and returned home 30 min earlier. How long did the children walk
16.
A train travelling at 30 kMph takes 13.5 sec in passing a certain point . find the length of the train
17.
How long will a train 60 m long travelling at 40 kph take to pass through a station whose platform is 90 m long
18.
A train 110 m in length travels at 60 kMph . In what time will it pass a man who is walking against the train direction at 6 kMph?
19.
Two trains travel in the same direction at 56 kph and 29 kph and the faster train passes a man in the slower train in 16 sec. Find the length of the faster train?
20.
A 60 m long train crosses a tunnel of length 40 m in 10 sec. Find the time for train to cross a man standing on a platform of length 65 m
21.
Two trains start at the same time from Patna and Gaya and passed each other at the rate of 60 kph and 40 kph respectively. When they meet it is found that one train has travelled 20 km more than the other . Find the distance between Patna and Gaya
22.
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m and travels towards B at 20 Kph . another train starts from B at 8 a.m and travel towards A at 25 kph. At what time will they meet?
23.
Two trains of the same length but with different speeds pass a pole in 5 sec and 6 sec respectively. In what time will they cross each other when they are moving in the same direction
24.
A train running from A to B meets with an accident 50 km from A, after which it moves with 3/5th of the speed and arrives at B 3 hrs late. Had the accident happened 50 km further on , it would have been 2 hrs late. Find the speed of the train and the distance from A to B.
25.
Two trains A and B start from Delhi and Patna towards Patna and Delhi respectively. After passing each other they take 4 hrs 48 min and 3 hrs 20 min to reach Patna and Delhi respectively. If the train from Delhi is moving at 45 kph then find the speed of the other train