A train with a uniform speed crosses a pole in 2 seconds and a bridge of length 250m in 7 seconds. The length of the train is
150 m
120 m
100 m
100 m
Two stations X and Y are 900 km apart. A train starts from X and moves towards Y at 70 km/hr. Another train starts from Y at the same time and moves towards X at 80 km/hr. How far from X will they cross each other?
150 km
300 km
420 km
420 km
C.
420 km
Distance = 900 km (given)
Relative speed = (70 + 80) km/hr = 150 km/hr
Relative time =
X speed = 70 km/hr
∴ Required distance covered by x = 70 x 6 = 420 km
To travel 816 km, an Express train takes 9 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 4 hours less than Rajdhani. What is the speed of Rajdhani?
48 km/h
62.8 km/h
33.2 km/h
77.5 km/h
Two trains of equal length are running on parallel lines in the same direction in the same direction at the rate of 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is
50 m
72 m
80 m
80 m
Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is
27 m
P and Q are 27 km away. Two trains with speeds of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is
126 km
81 km
48 km
68 km
Two trains, A and B, start from stations X and Y towards Y and X respectively. After passing each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. If train A is moving at 45 km/hr, then the speed of the train B is
60 km/hr
64.8 km/hr
54 km/hr
54 km/hr
A train covers a distance between A and station B in 45 minutes, If the speed of the train is reduced by 5 km per hr, then the same distance is covered in 48 minutes. The distance between stations A and B is
60 km
64 km
80 km
80 km
A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120 m behind in 18 seconds. The speed of the second train is
26 km/hr
35 km/hr
36 km/hr
36 km/hr
Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hr faster than the other, then speed of train from Q is