1. If a man walks at the rate of 10 kmph, he misses a train by only 14 minutes. However if he walks at the rate of 12 kmph he reaches the station 10 minutes before the arrival of the train. Find the distance covered by him to reach the station.
(a) 20 km (b) 24km (c) 18 km (d) 16 km
2. To complete a run of 1000 km a train X takes 5 hours more than train Y. On a certain occasion, the train X was replaced by a train Z which runs at double the speed of the train X and completes the run 90 minutes earlier than the train Y. The speed of the train Y is
(a) 110 kmph (b) 62.5 kmph (c) 125 kmph (d) 67.5 kmph
3. Vivek covered a distance of 530 km between city Chennai and Bhavani taking a total of 9 hours. If part of the distance was covered at 70 km per hour and the balance at 50 km per hour, how long did he travel at 50 km per hour?
(a) 5 (b) 4 hours (c) 4.5 hours (d) 5.5 hours
4. A man takes 6 hr 15min walking and riding back. He would have gained 2 hour 30 min by riding both ways. How long would he walk both ways?
(a) 8 hrs (b) 8hr 15 mins (c) 8 hr 45 mins (d) 9 hr 15mins
5. Two trains move in the same direction at 100 kmph and 82 kmph respectively. A man in the slower train observes the 60 seconds elapse before the faster train completely passes by him. What is the length of faster train?
(a) 500m (b) 750m (c) 550m (d) 1080m
6. 1. The speed of a boat in still water is 10 km per hour. If it can travel 26 km. downstream and 14 km. upstream in the same time, find the speed of the stream.
(A) 5 km/hr (B) 4 km/hr (C) 2 km/hr (D) 3 km/hr
7. A boatman rows to a place 45 Km distant and back in 20 hours. He finds that he can row 12 Km with the stream in the same time as 4 Km against the stream. Find the speed of the stream.
(A) 3 Km/hr (B) 2.5 Km/hr (C) 4 Km/hr (D) Cannot be determined
8. A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream.
(A) 1.5 km/hr (B) 2 km/hr (C) 2.5 km/hr (D) 1.75km/hr
9. Rahul can row a certain distance downstream in 6 hours and return the same distance in 9 hours. If the speed of Rahul in still water is 12 km/hr, find the speed of the stream.
(A) 2 km/hr (B) 2.4 km/hr (C) 3 km/hr (D) Data inadequate
10. A runs 25% faster than B and is able to give him a start of 7 metre to finish the race in dead heat. What is the length of the race?
(a) 28 (b) 35 (c) 42 (d) None of these
12. Starting from the same point at the same time on a circular track 624m, X moves in clockwise direction whereas Y and Z move in anticlockwise direction. X meets Y every 39 seconds while X meets Z every 48 seconds. After how much time does Y meet Z?(all in seconds)
(a) 208 (b) 200 (c) 108 (d) 172
13. B and C run a 1/2 km race. Who should give a start to the slower runner and of how many meters so that they both finish the race at the same time? The ratio of their speeds is given as 4: 5.
(a) 80 (b) 10 (c) 100 (d) None of these
14. Two trains of length 100m and 200m run on parallel tracks. When they run in the same direction it will take 20 seconds to cross each other and when they run in opposite direction it will take 10 seconds to cross each other. Find the speed (all in kmph) of 2 trains.
(a) 81, 27 (b) 30, 81 (c) 27, 20 (d) 22.5, 7.5
15. A can beat B by 20 yards in a race of 200 yards. B can beat C by 10 yards in a race of 250 yards. By how many yards can A beat C in a race of 100 yards?
(a) 13.6 (b) 13 (c) 14 (d) None of these
16. Two cyclists A and B cover a distance of 110 kilometers. A reaches the destination one hour before B even if B had given a start of 8 kilometer he would have reached 12 minutes late. Find the speed (all in kmph) of A.
(a) 14 (b) 10 (c) 11 (d) 7.5
17. A takes 3 minutes 45 seconds to complete a kilometer. B takes 4 minutes to complete the same 1-kilometer track. If A and B were to participate in a race of 2 kilometers, how much start (all in meters) can A give B in terms of distance?
(a) 135 (b) 125 (c) 120 (d) None of these
18. With an average speed of 45 kmph, a train reaches its destination on time. If it goes at an average speed of 35 kmph for a third of the distance, what is the average speed for the remaining 2/3 of the distance?
(a) 48 (b) 49 (c) 52.5 (d) 70
19. . A car starts from A towards B with some velocity. Due to some technical problem, after traveling 30Kms, the car goes with 4/5 th of its velocity. The car reaches B, 45min late than the actual time. If the car engine had failed after traveling 45km more, the car would have reached the destination (B) 36 minutes late than the actual time. What is the initial velocity of the care in Km/hr?
(a) 60 (b) 77 (c) 75 (d) None of these
20. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 km?
(a) 120 km/h (b) 130 km/h (c) 100 km/h (d) 90 km/h
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