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Problems on Trains Formulas for Competitive Exams

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Q :  

A train of length 250 m crosses a platform of length 350 m in 50 seconds. In what time will the train cross a platform of length 230 m?

(A) 40 seconds

(B) 55 seconds

(C) 60 seconds

(D) 45 seconds

Correct Answer : A

Q :  

Two train 120 meters and 160 meters in length are running towards each other on parallel lines at the speed of 70 kmph and 42 kmph respectively. How long will it take to cross each other after they meet?

(A) 7 Seconds

(B) 8 Seconds

(C) 9 Seconds

(D) 10 Seconds

Correct Answer : C

Q :  

Speed of train B is 20% more than speed of train A and length of train A and B is 720 meters and 600 meters respectively. If both trains running in opposite direction cross each other in 24 second, then find speed of trains B (in km/hr)?

(A) 160

(B) 84

(C) 144

(D) 108

Correct Answer : D

Q :  

A 900 metre long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?

(A) 117 km/h

(B) 108 km/h

(C) 99 km/h

(D) 90 km/h

Correct Answer : B

Q :  

A train running at the speed of  m/sec, crosses a pole in 27 sec. Find the length of the train.

(A) 420 m

(B) 120 m

(C) 320 m

(D) 220 m

Correct Answer : A

Q :  A 200 m long train passes a motorcycler, running in the same direction at 12 km/hr, in 15 second and a jeep travelling in the same direction in 20 s. At what speed is the car travelling (length of both the motorcycler and jeep is negligible)?

(A) 36 kmph

(B) 32 kmph

(C) 29 kmph

(D) 24 kmph

Correct Answer : D
Explanation :
Answer: D) 24 kmph Explanation: Let the speed of the train be 'S' kmph From the given data, Distance = Length of train = D = 200 mts = 200 x 18/5 kms Time = 10 sec given speed of the motorcycler = 12 kmph Relative speed as they are moving in the same direction = (S - 12) kmph (S- 12) = 200 x 18515S - 12 = 48S = 60 kmph  Hence, the speed of the train = S = 60 kmph Now, Let the speed of the jeep be 'x' kmph 60 - x = 200 x 1852060 - x = 36x = 60 - 36x = 24 kmph   Therefore, the speed of the jeep = x = 24 kmph.

Q :  

A train moving at speed of 90 km/hr crosses a pole in 7 seconds. Find the length of the train.

(A) 150 m

(B) 165 m

(C) 175 m

(D) 170 m

Correct Answer : C

Q :  

A train is moving at a speed of 80 km/ h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours is 

(A) 100 km / h

(B) 70 km / h

(C) 85 km / h

(D) 90 km / h

Correct Answer : D

Q :  

Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by one third, so it takes 3 hours more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

(A) 60

(B) 90

(C) 60

(D) 80

Correct Answer : D

Q :  

Two towns P and Q are 170 km apart, a train starts at 9 a.m. from P towards Q at a speed of 40 km/hr, at 11 a.m. another train starts from Q towards P at a speed of 50 km/hr. When will the two trains meet?

(A) 1 PM

(B) 12 Noon

(C) 12.30 PM

(D) 1.30 PM

Correct Answer : B

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