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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

4.
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

50 m

Relative speed = (46 - 36) = 10 kmph
$equals space open parentheses 10 space cross times space 5 over 18 close parentheses space straight m divided by sec$
$equals space 25 over 9 space straight m divided by sec$
Let the length of each train = x metre
$Time space taken space in space crossing space equals space fraction numerator Length space of space both space trains over denominator Relative space speed end fraction$
$rightwards double arrow space space 36 space equals space fraction numerator 2 straight x over denominator begin display style 25 over 9 end style end fraction rightwards double arrow space space space 2 straight x space equals space 36 space cross times space 25 over 9 space equals space 100 rightwards double arrow space space straight x space equals space 100 over 2 space equals space 50 space metre$

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

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

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