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Problem on Trains

Multiple Choice Questions

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

166 Views

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

157 Views

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

260 Views

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

$23 2 over 9 straight m$
27 m
$27 7 over 9 straight m$
$27 7 over 9 straight m$

226 Views

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

601 Views

7.
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

54 km/hr

Let the speed of the train A be x kmph.
Speed of train B be y kmph
Required ratio
$straight x over straight y space equals space square root of straight t subscript 2 over straight t subscript 1 end root$
$rightwards double arrow space space space 45 over straight y space equals space square root of fraction numerator 3 plus begin display style 1 third end style over denominator 4 plus begin display style 48 over 60 end style end fraction end root space equals space square root of fraction numerator begin display style 10 over 3 end style over denominator 4 plus begin display style 4 over 5 end style end fraction end root equals space square root of 10 over 3 cross times space 5 over 24 end root space equals space square root of 25 over 36 end root space equals space 5 over 6 rightwards double arrow space space space 5 straight y space equals space 45 space cross times space 6 space space rightwards double arrow space space straight y space space space equals space fraction numerator 45 space cross times space 6 over denominator 5 end fraction space equals space 54 space kmph$

899 Views

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

188 Views

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

529 Views

10.

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