1. Train A crosses a bike running in the opposite direction at speed of 24 kmph in 16 seconds and the train also crosses a 210 m long platform in 54 seconds. If train A crosses another x m long train B running in the opposite direction at the speed of 42 kmph in 27 seconds, then find the value of x?
A) 250 B) 280 C) 300 D) 350 E) 400
Explanation: Let speed of train A = y km/h
2. Train A running at speed of 54 km/hr. crosses a pole in 22 seconds and train B crosses a pole in 30 seconds. Ratio of speed of train A to B is 9 : 15 and both trains running in the opposite direction to each other in ...... sec?
A) 36 sec B) 30 sec C) 24 sec D) 45 sec E) 27 sec
3. Train A started from point P at a speed of 70 km/hr and after 2 hours and train B started from the same point at a speed of 90 km/hr in the same direction. Find after how much time the second train will meet train A?
A) 5 hrs B) 8 hrs C) 9 hrs D) 6 hrs E) 7 hrs
Explanation: Let travel time of train A = x hrs
70 × x = 90 × (x − 2)
70x = 90x − 180 Þ 20x = 180 Þ x = 9
Second train will met train A after (x − 2) hrs
9 − 2 = 7 hrs
Ans: E
4. Train A running at a speed of 90 km/hr passes a tunnel in 12 sec, while train B running at a speed of 72 km/hr crosses a platform in 19 sec. The ratio of the length of train A and train B is 3 : 2 and the ratio of the length of tunnel and platform is 1 : 2. What is the length of the train B?
A) 180 m B) 240 m C) 55 m D) 110 m E) 150 m
5. Lengths of two trains are 550 m and 475 m and the ratio of their speeds is 3 : 2 respectively. The time taken by them to cross each other when they running in same direction is 164 sec more than the time, they took to cross each other when they running in the opposite direction. Find the speed of the faster train (in km/hr).
A) 48 km/hr B) 36 km/hr C) 44 km/hr D) 54 km/hr E) 72 km/hr
Ans: D
6. Train A of length 300 meters running with a speed of 90 km/hr can cross another train B of length 240 meters running in the same
direction in 64.8 seconds. If train B can cross a platform in 36 seconds, then what is the length of the platform? (In m)
A) 540 B) 240 C) 300 D) 420 E) 360
Explanation: Train A length = 300 m,
Train A speed = 90 km/hr
Train B length = 240 m
Train B speed = x km/hr
7. A train crosses a tunnel which is half of its length with a speed of 144 km/hr in 1/2 min, then find the time in which it will cross another
train which is double of its length and standing on the platform in the opposite direction with 60% of its initial speed?
A) 100 sec B) 120 sec C) 150 sec D) 80 sec E) 200 sec
Explanation: Let assume train A length = 2x
then tunnel length = x
Train A crosses tunnel
⇒ 2x + x / 144 × 5/ 18 = 30 sec
8. The length of train A and B is equal and the ratio of the speed of train A to B is 5 : 4. If train A crosses B running in the same direction in ‘x’ seconds and train A crosses train B running opposite direction in ‘y’ seconds. If the sum of the values of x and y is 90 seconds. Find the value of (x – y).
A) 60 B) 68 C) 54 D) 80 E) 72
9. Train A travelling at 108 km/hr crosses train B, which has a length of 40 meters more than the length of train A and travelling in the opposite direction at 90 km/hr in 14 seconds. If train B crosses a bridge in 24 seconds, then find in how much time train A crosses the same bridge?
A) 56/3 sec B) 72/5 sec C) 60 sec D) 45/7 sec E) 78/5 sec
10. The length of train A is 220 meters and the length of train B is ‘b + 60’ meters and train A and train B crosses a signal pole in 11 sec and 20 sec respectively, then find the time taken by train A to cross train B, when both trains are running in the same direction if the ratio of the speed of train A to B is 4 : 3.
A) 90 sec B) 104 sec C) 108 sec D) 110 sec E) 120 sec
